tests4/MiscellaneousFunctions/TestGradnew.m

137 {(x-a)^(-b),x},
138 {(x-a)^(-1),x},
139 {(M x+N) (A+2 B x+C x^2)^(-p),x},       (* Gen *)
140 {(A+2 B x+C x^2)^(-1),x},
141 {(M x+N) (A+2 B x+C x^2)^(-1),x},
143 {x^n (a+b x^k)^m,x},                    (* Ret2.2 *)
145 {(a+b x)^m,x},
146 {x^n (a+b x)^(-m),x},                   (* Ret2.2 *)
147 {x^(m-1) (a+b x)^(-m),x},               (* Ret2.2 *)                                               …
148 {x^n (a+b x)^(-1),x},                   (* Ret2.2 *)
149 {x^n (a+b x)^(-2),x},                   (* Ret2.2 *)
151 {x (a+b x)^(-1),x},
152 {x^2 (a+b x)^(-1),x},
154 {(a+b x)^(-2),x},
155 {x (a+b x)^(-2),x},
156 {x^2 (a+b x)^(-2),x},
158 {(a+b x)^(-3),x},
159 {x (a+b x)^(-3),x},
160 {x^2 (a+b x)^(-3),x},
161 {x^3 (a+b x)^(-3),x},
163 {(a+b x)^(-4),x},
164 {x (a+b x)^(-4),x},
165 {x^2 (a+b x)^(-4),x},
166 {x^3 (a+b x)^(-4),x},
168 {(a+b x)^(-5),x},
169 {x (a+b x)^(-5),x},
170 {x^2 (a+b x)^(-5),x},
171 {x^3 (a+b x)^(-5),x},
173 {(a+b x)^(-m),x},
174 {(a+b x)^(-m),x},
175 {x^(-1) (a+b x)^(-m),x},                (* Ret2.2 *)
176 {x^(-n) (a+b x)^(-1),x},                (* Ret2.2 *)
178 {x^(-1) (a+b x)^(-1),x},
179 {x^(-2) (a+b x)^(-1),x},
180 {x^(-3) (a+b x)^(-1),x},
182 {x^(-1) (a+b x)^(-2),x},
183 {x^(-2) (a+b x)^(-2),x},
184 {x^(-3) (a+b x)^(-2),x},
186 {x^(-1) (a+b x)^(-3),x},
187 {x^(-2) (a+b x)^(-3),x},
188 {x^(-3) (a+b x)^(-3),x},
190 {x^(-1) (a+b x)^(-4),x},
191 {x^(-2) (a+b x)^(-4),x},
192 {x^(-3) (a+b x)^(-4),x},
194 {x^(-1) (a+b x)^(-5),x},
195 {x^(-2) (a+b x)^(-5),x},
196 {x^(-3) (a+b x)^(-5),x},
198 {(a+b x^2)^(-1),x},
199 {x (a+b x^2)^(-m),x},
201 {x (a+b x^3)^(-m),x},                   (* Ret2.2 *)
202 {x^n (a+b x^3)^(-m),x},                 (* Ret2.2 *)
204 {(a+b x^3)^(-1),x},
205 {x (a+b x^3)^(-1),x},
206 {x^2 (a+b x^3)^(-1),x},
207 {x^3 (a+b x^3)^(-1),x},
208 {x^4 (a+b x^3)^(-1),x},
210 {(a+b x^3)^(-2),x},
211 {x (a+b x^3)^(-2),x},
212 {x^2 (a+b x^3)^(-2),x},
213 {x^3 (a+b x^3)^(-2),x},
215 {x^(-n) (a+b x^3)^(-m),x},              (* Ret2.2 *)
217 {x^(-1) (a+b x^3)^(-1),x},
218 {x^(-2) (a+b x^3)^(-1),x},
219 {x^(-3) (a+b x^3)^(-1),x},
221 {x^(-1) (a+b x^3)^(-2),x},
222 {x^(-2) (a+b x^3)^(-2),x},
223 {x^(-3) (a+b x^3)^(-2),x},
225 {(a+b x^4)^(-1),x},
226 {x (a+b x^4)^(-1),x},
227 {x^2 (a+b x^4)^(-1),x},
228 {x^3 (a+b x^4)^(-1),x},
230 {x^n (a+b x^4)^(-m),x},                 (* Ret2.2 *)
232 {(a+b x^4)^(-2),x},
233 {x (a+b x^4)^(-2),x},
234 {x^2 (a+b x^4)^(-2),x},
235 {x^3 (a+b x^4)^(-2),x},
237 {x^(-n) (a+b x^4)^(-m),x},              (* Ret2.2 *)
238 {x^(-1) (a+b x^4)^(-m),x},              (* Ret2.2 *)
240 {x^(-1) (a+b x^4)^(-1),x},
241 {x^(-2) (a+b x^4)^(-1),x},
243 {(1+x)^(-1),x},
244 {(1+x^2)^(-1),x},
245 {(1+x^3)^(-1),x},
246 {(1+x^4)^(-1),x},
248 {(1+x^n)^(-1),x},                       (* Ret2.2 *)
250 {(1-x)^(-1),x},
251 {(1-x^2)^(-1),x},
252 {(1-x^3)^(-1),x},
253 {(1-x^4)^(-1),x},
255 {(1-x^n)^(-1),x},                       (* Ret2.2 *)
257 {x (1+x)^(-1),x},
258 {x (1+x^2)^(-1),x},
259 {x (1+x^3)^(-1),x},
260 {x (1+x^4)^(-1),x},
261 {x (1-x)^(-1),x},
262 {x (1-x^2)^(-1),x},
263 {x (1-x^3)^(-1),x},
264 {x (1-x^4)^(-1),x},
266 {x^(m-1) (1+x^(2 n))^(-1),x},           (* Ret2.2 *)
267 {x^(m-1) (1+x^(2 n+1))^(-1),x},         (* Rec or Memory Fault 2.2 *)
268 {x^(m-1) (1-x^(2 n))^(-1),x},           (* Ret2.2 *)
269 {x^(m-1) (1-x^(2 n+1))^(-1),x},         (* Rec or Memory Fault 2.2 *)
271 {x^m (1-x^(2 n))^(-1),x},               (* Ret2.2 *)
272 {x^m (1+x^2)^(-n),x},                   (* Ret2.2 *)
273 {x^m (1+x^2)^(-1),x},                   (* Ret2.2 *)
274 {x^m (1-x^2)^(-n),x},                   (* Ret2.2 *)
275 {x^m (1-x^2)^(-1),x},                   (* Ret2.2 *)
277 {x^(-m) (1+x^2)^(-n),x},                (* Ret2.2 *)
278 {x^(-1) (1+x^2)^(-n),x},                (* Ret2.2 *)
279 {x^(-1) (1+x^2)^(-1),x},
280 {x^(-m) (1+x^2)^(-1),x},                (* Ret2.2 *)
281 {(1+x^2)^(-n),x},                       (* Ret2.2 *)
283 {x^(-m) (1-x^2)^(-n),x},                (* Ret2.2 *)
284 {x^(-1) (1-x^2)^(-n),x},                (* Ret2.2 *)
285 {x^(-1) (1-x^2)^(-1),x},
286 {(1-x^2)^(-n),x},                       (* Ret2.2 *)
288 {(a+b x)^n (c+d x)^m,x},                (* Ret2.2 *)
290 {(a+b x) (c+d x)^(-1),x},
292 {(a+b x)^(-n) (c+d x)^m,x},             (* Ret2.2 *)
294 {(a+b x)^(-1) (c+d x)^(-1),x},
296 {(a+b x)^(-n) (c+d x)^(-m),x},          (* Ret2.2 *)
298 {x (a+b x)^(-1) (c+d x)^(-1),x},
300 {x^(m-1) (a+b x^k+c x^(2 k))^n,x},      (* GEN *)
302 {(a+b x^2+c x^4)^(-1),x},               (* Ret2.2 *)
303 {x (a+b x^2+c x^4)^(-1),x},             (* Ret2.2 *)
304 {x^2 (a+b x^2+c x^4)^(-1),x},           (* Ret2.2 *)
305 {(a+b x^2+c x^4)^(-2),x},               (* Ret2.2 *)
306 {(a+b x^2+c x^4)^(-n),x},              (* GEN *)
307 {x^(-m) (a+b x^2+c x^4)^(-n),x},       (* GEN *)
309 {x^(m+1) (a+b x+c x^2)^n,x},           (* GEN *)
310 {(a+b x+c x^2)^(-n-1),x},               (* Ret2.2 *)
312 {(a+b x+c x^2)^(-1),x},
314 {(a+b x+c x^2)^(-2),x},
315 {(a+b x+c x^2)^(-3),x},
317 {x^m (a+b x+c x^2)^(-n),x},       (* GEN *)
318 {x^(2n-1) (a+b x+c x^2)^(-n),x},  (* GEN *)
320 {x (a+b x+c x^2)^(-1),x},
321 {x (a+b x+c x^2)^(-2),x},
322 {x (a+b x+c x^2)^(-3),x},
323 {x^2 (a+b x+c x^2)^(-1),x},
324 {x^2 (a+b x+c x^2)^(-2),x},
325 {x^2 (a+b x+c x^2)^(-3),x},
326 {x^3 (a+b x+c x^2)^(-1),x},
327 {x^3 (a+b x+c x^2)^(-2),x},
328 {x^3 (a+b x+c x^2)^(-3),x},
330 {x^(-m) (a+b x+c x^2)^(-n),x},    (* GEN *)
332 {x^(-1) (a+b x+c x^2)^(-1),x},
333 {x^(-1) (a+b x+c x^2)^(-2),x},
334 {x^(-1) (a+b x+c x^2)^(-3),x},
335 {x^(-2) (a+b x+c x^2)^(-1),x},
336 {x^(-2) (a+b x+c x^2)^(-2),x},
337 {x^(-2) (a+b x+c x^2)^(-3),x},
338 {x^(-3) (a+b x+c x^2)^(-1),x},
339 {x^(-3) (a+b x+c x^2)^(-2),x},
340 {x^(-3) (a+b x+c x^2)^(-3),x},
342 {(d+e x)^m (a+b x+c x^2)^n,x},       (* GEN *)
343 {(d+e x)^(-m) (a+b x+c x^2)^n,x},    (* GEN *)
344 {(d+e x)^m (a+b x+c x^2)^(-n),x},    (* GEN *)
345 {(d+e x)^(-m) (a+b x+c x^2)^(-n),x}, (* GEN *)
346 {(d+e x)^(-1) (a+b x+c x^2)^(-1),x},
351 {x^(-1/2) (a+b x)^(-1),x},
353 {x^(m+1/2) (a+b x)^(-1),x},             (* Ret2.2 *)
355 {x^(1/2) (a+b x)^(-1),x},
356 {x^(3/2) (a+b x)^(-1),x},
357 {x^(5/2) (a+b x)^(-1),x},
358 {x^(-1/2) (a+b x)^(-2),x},
359 {x^(1/2) (a+b x)^(-2),x},
360 {x^(3/2) (a+b x)^(-2),x},
361 {x^(5/2) (a+b x)^(-2),x},
362 {x^(-1/2) (a+b x)^(-3),x},
363 {x^(1/2) (a+b x)^(-3),x},
364 {x^(3/2) (a+b x)^(-3),x},
365 {x^(5/2) (a+b x)^(-3),x},
367 {x^(-1/2) (a+b x^2)^(-1),x},
369 {x^(1/2) (a+b x^2)^(-1),x},
371 {x^(3/2) (a+b x^2)^(-1),x},
372 {x^(5/2) (a+b x^2)^(-1),x},
373 {x^(-1/2) (a+b x^2)^(-2),x},
374 {x^(1/2) (a+b x^2)^(-2),x},
375 {x^(3/2) (a+b x^2)^(-2),x},
376 {x^(5/2) (a+b x^2)^(-2),x},
377 {x^(-1/2) (a+b x^2)^(-3),x},
378 {x^(1/2) (a+b x^2)^(-3),x},
379 {x^(3/2) (a+b x^2)^(-3),x},
380 {x^(5/2) (a+b x^2)^(-3),x},
382 {x^n (a+b x)^r,x},                      (* Ret2.2 *)                                               …
384 {(a+b x)^(-1/2),x},
385 {x (a+b x)^(-1/2),x},
386 {x^2 (a+b x)^(-1/2),x},
388 {(a+b x)^(-3/2),x},
389 {x (a+b x)^(-3/2),x},
390 {x^2 (a+b x)^(-3/2),x},
391 {((a+b x)^3)^(-1/2),x},
392 {x ((a+b x)^3)^(-1/2),x},
393 {x^2 ((a+b x)^3)^(-1/2),x},
395 {x^(-n) (a+b x)^(m-1/2),x},             (* Ret2.2 *)
396 {x^(-1) (a+b x)^(m-1/2),x},             (* Ret2.2 *)
397 {x^(-1) (a+b x)^(-1/2),x},
399 {x^(-1) (a+b x)^(1/2),x},
400 {x^(-2) (a+b x)^(1/2),x},
401 {x^(-3) (a+b x)^(1/2),x},
403 {x^(-1) (a+b x)^(3/2),x},
404 {x^(-2) (a+b x)^(3/2),x},
405 {x^(-3) (a+b x)^(3/2),x},
406 {x^(-1) ((a+b x)^3)^(1/2),x},
407 {x^(-2) ((a+b x)^3)^(1/2),x},
408 {x^(-3) ((a+b x)^3)^(1/2),x},
410 {x^(-1) (a+b x)^(-m-1/2),x},            (* Ret2.2 *)
412 {x^(-2) (a+b x)^(-1/2),x},
413 {x^(-3) (a+b x)^(-1/2),x},
415 {x^(-1) (a+b x)^(-3/2),x},
416 {x^(-2) (a+b x)^(-3/2),x},
417 {x^(-3) (a+b x)^(-3/2),x},
418 {x^(-1) ((a+b x)^3)^(-1/2),x},
419 {x^(-2) ((a+b x)^3)^(-1/2),x},
420 {x^(-3) ((a+b x)^3)^(-1/2),x},
422 {x^n (a+b x)^r,x},                      (* Ret2.2 *)
423 {x^(-m) (a+b x)^(n-2/3),x},             (* Ret2.2 *)
424 {x^(-1) (a+b x)^(n-2/3),x},             (* Ret2.2 *)
425 {x^n ((a+b x)^(3m+1))^(1/3),x},
426 {x^n ((a+b x)^(3m+2))^(-1/3),x},
427 {x^n ((a+b x)^(3m+2))^(1/3),x},
428 {x^n ((a+b x)^(3m+1))^(-1/3),x},
429 {x^(-m) ((a+b x)^2)^(-1/3) (a+b x)^n,x},
430 {x^(-1) ((a+b x)^2)^(-1/3) (a+b x)^n,x},
431 {x^(-1) ((a+b x)^2)^(-1/3) (a+b x)^(-n),x},
432 {x^(-1) (x^2)^(-1/3) (a+b x)^n,x},
433 {x^(-m) (a+b x)^(n-2/3),x},             (* Ret2.2 *)
434 {x^(-1) (a+b x)^(n-2/3),x},             (* Ret2.2 *)
436 {x^(-1) (a+b x)^(-2/3),x},              (* Ret2.2 *)
437 {x^(-1) ((a+b x)^2)^(-1/3),x},          (* Ret2.2 *)                                               …
439 {x^(-1) (a+b x)^(1/3),x},               (* Ret2.2 *)
440 {x^(-2) (a+b x)^(1/3),x},               (* Ret2.2 *)
441 {x^(-3) (a+b x)^(1/3),x},               (* Ret2.2 *)
442 {x^(-2) (a+b x)^(-2/3),x},              (* Ret2.2 *)
443 {x^(-3) (a+b x)^(-2/3),x},              (* Ret2.2 *)
444 {x^(-2) ((a+b x)^2)^(-1/3),x},          (* Ret2.2 *)                                               …
445 {x^(-3) ((a+b x)^2)^(-1/3),x},          (* Ret2.2 *)                                               …
447 {x^(-m) (a+b x)^(n-1/3),x},             (* Ret2.2 *)
448 {x^(-1) (a+b x)^(n-1/3),x},             (* Ret2.2 *)
449 {x^(-1) (a+b x)^(-n-1/3),x},            (* Ret2.2 *)
451 {x^(-1) (a+b x)^(-1/3),x},              (* Ret2.2 *)
453 {x^(-1) (a+b x)^(2/3),x},               (* Ret2.2 *)
454 {x^(-2) (a+b x)^(2/3),x},               (* Ret2.2 *)
455 {x^(-3) (a+b x)^(2/3),x},               (* Ret2.2 *)
456 {x^(-2) (a+b x)^(-1/3),x},              (* Ret2.2 *)
457 {x^(-3) (a+b x)^(-1/3),x},              (* Ret2.2 *)
458 {x^(-1) ((a+b x)^2)^(1/3),x},           (* Ret2.2 *)                                               …
459 {x^(-2) ((a+b x)^2)^(1/3),x},           (* Ret2.2 *)                                               …
460 {x^(-3) ((a+b x)^2)^(1/3),x},           (* Ret2.2 *)                                               …
462 {(c+d x)^n (a+b x)^(m-1/2),x},          (* Ret2.2 *)
464 {(c+d x) (a+b x)^(-1/2),x},
465 {(c+d x)^2 (a+b x)^(-1/2),x},
466 {(c+d x)^3 (a+b x)^(-1/2),x},
467 {(c+d x) (a+b x)^(1/2),x},
468 {(c+d x)^2 (a+b x)^(1/2),x},
469 {(c+d x)^3 (a+b x)^(1/2),x},
470 {(c+d x) (a+b x)^(3/2),x},
471 {(c+d x)^2 (a+b x)^(3/2),x},
472 {(c+d x)^3 (a+b x)^(3/2),x},
473 {(c+d x) (a+b x)^(5/2),x},
474 {(c+d x)^2 (a+b x)^(5/2),x},
475 {(c+d x)^3 (a+b x)^(5/2),x},
477 {(c+d x)^n (a+b x)^(-m-1/2),x},         (* Ret2.2 *)
479 {(c+d x) (a+b x)^(-3/2),x},
480 {(c+d x)^2 (a+b x)^(-3/2),x},
481 {(c+d x)^3 (a+b x)^(-3/2),x},
482 {(c+d x) (a+b x)^(-5/2),x},
483 {(c+d x)^2 (a+b x)^(-5/2),x},
484 {(c+d x)^3 (a+b x)^(-5/2),x},
485 {(c+d x) (a+b x)^(-7/2),x},
486 {(c+d x)^2 (a+b x)^(-7/2),x},
487 {(c+d x)^3 (a+b x)^(-7/2),x},
489 {(c+d x)^(-n) (a+b x)^(m-1/2),x},       (* Ret2.2 *)
490 {(c+d x)^(-1) (a+b x)^(m-1/2),x},       (* Ret2.2 *)
492 {(c+d x)^(-1) (a+b x)^(-1/2),x},
494 {(c+d x)^(-1) (a+b x)^(-m-1/2),x},      (* Ret2.2 *)
496 {(c+d x)^(-1) (a+b x)^(-3/2),x},
497 {(c+d x)^(-1) (a+b x)^(-5/2),x},
498 {(c+d x)^(-1) (a+b x)^(-7/2),x},
499 {(c+d x)^(-2) (a+b x)^(-1/2),x},
500 {(c+d x)^(-2) (a+b x)^(-3/2),x},
501 {(c+d x)^(-2) (a+b x)^(-5/2),x},
502 {(c+d x)^(-2) (a+b x)^(-7/2),x},
503 {(c+d x)^(-3) (a+b x)^(-1/2),x},
504 {(c+d x)^(-3) (a+b x)^(-3/2),x},
505 {(c+d x)^(-3) (a+b x)^(-5/2),x},
506 {(c+d x)^(-3) (a+b x)^(-7/2),x},
507 {(c+d x)^(-1) (a+b x)^(1/2),x},
508 {(c+d x)^(-1) (a+b x)^(3/2),x},
509 {(c+d x)^(-1) (a+b x)^(5/2),x},
510 {(c+d x)^(-2) (a+b x)^(1/2),x},
511 {(c+d x)^(-2) (a+b x)^(3/2),x},
512 {(c+d x)^(-2) (a+b x)^(5/2),x},
513 {(c+d x)^(-3) (a+b x)^(1/2),x},
514 {(c+d x)^(-3) (a+b x)^(3/2),x},
515 {(c+d x)^(-3) (a+b x)^(5/2),x},
517 {(c+d x)^(-n) (a+b x)^(-m-1/2),x},      (* Ret2.2 *)
518 {(c+d x)^(-1) (a+b x)^(-m-1/2),x},      (* Ret2.2 *)
520 {x^m (a+b x+c x^2)^(n+1/2),x},       (* GEN *)
521 {(a+b x+c x^2)^(n+1/2),x},              (* Ret2.2 *)
523 {(a+b x+c x^2)^(-1/2),x},
525 {(a+b x+c x^2)^(1/2),x},
526 {x (a+b x+c x^2)^(1/2),x},
527 {x^2 (a+b x+c x^2)^(1/2),x},
528 {x^3 (a+b x+c x^2)^(1/2),x},
529 {(a+b x+c x^2)^(3/2),x},
530 {x (a+b x+c x^2)^(3/2),x},
531 {x^2 (a+b x+c x^2)^(3/2),x},
532 {x^3 (a+b x+c x^2)^(3/2),x},
533 {((a+b x+c x^2)^3)^(1/2),x},
534 {x ((a+b x+c x^2)^3)^(1/2),x},
535 {x^2 ((a+b x+c x^2)^3)^(1/2),x},
536 {x^3 ((a+b x+c x^2)^3)^(1/2),x},
538 {x^m (a+b x+c x^2)^(-n-1/2),x},   (* GEN *)
539 {x^(2n) (a+b x+c x^2)^(-n-1/2),x},(* GEN *)
540 {(a+b x+c x^2)^(-n-1/2),x},             (* Ret2.2 *)
542 {(a+b x+c x^2)^(-1/2),x},
543 {x (a+b x+c x^2)^(-1/2),x},
544 {x^2 (a+b x+c x^2)^(-1/2),x},
545 {x^3 (a+b x+c x^2)^(-1/2),x},
546 {(a+b x+c x^2)^(-3/2),x},
547 {x (a+b x+c x^2)^(-3/2),x},
548 {x^2 (a+b x+c x^2)^(-3/2),x},
549 {x^3 (a+b x+c x^2)^(-3/2),x},
550 {((a+b x+c x^2)^3)^(-1/2),x},
551 {x ((a+b x+c x^2)^3)^(-1/2),x},
552 {x^2 ((a+b x+c x^2)^3)^(-1/2),x},
553 {x^3 ((a+b x+c x^2)^3)^(-1/2),x},
555 {x^(-m) (a+b x+c x^2)^(n+1/2),x},       (* GEN *)
556 {x^(-1) (a+b x+c x^2)^(n+1/2),x},       (* GEN *)
557 {x^(-m) (b x+c x^2)^(n+1/2),x},         (* Ret2.2 *)
559 {x^(-1) (a+b x+c x^2)^(-1/2),x},
561 {x^(-1) (a+b x+c x^2)^(1/2),x},
562 {x^(-2) (a+b x+c x^2)^(1/2),x},
563 {x^(-2) (b x+c x^2)^(1/2),x},
564 {x^(-3) (a+b x+c x^2)^(1/2),x},
565 {x^(-3) (b x+c x^2)^(1/2),x},
566 {x^(-1) (a+b x+c x^2)^(3/2),x},
567 {x^(-2) (a+b x+c x^2)^(3/2),x},
568 {x^(-2) (b x+c x^2)^(3/2),x},
569 {x^(-3) (a+b x+c x^2)^(3/2),x},
570 {x^(-3) (b x+c x^2)^(3/2),x},
571 {x^(-1) ((a+b x+c x^2)^3)^(1/2),x},
572 {x^(-2) ((a+b x+c x^2)^3)^(1/2),x},
573 {x^(-2) ((b x+c x^2)^3)^(1/2),x},
574 {x^(-3) ((a+b x+c x^2)^3)^(1/2),x},
575 {x^(-3) ((b x+c x^2)^3)^(1/2),x},
577 {x^(-m) (a+b x+c x^2)^(-n-1/2),x},(* GEN *)
578 {x^(-1) (a+b x+c x^2)^(-n-1/2),x},(* GEN *)
580 {x^(-m) (b x+c x^2)^(-n-1/2),x},        (* Ret2.2 *)
582 {x^(-1) (a+b x+c x^2)^(-1/2),x},
583 {x^(-2) (a+b x+c x^2)^(-1/2),x},
584 {x^(-2) (b x+c x^2)^(-1/2),x},
585 {x^(-3) (a+b x+c x^2)^(-1/2),x},
586 {x^(-3) (b x+c x^2)^(-1/2),x},
587 {x^(-1) (a+b x+c x^2)^(-3/2),x},
588 {x^(-1) (b x+c x^2)^(-3/2),x},
589 {x^(-2) (a+b x+c x^2)^(-3/2),x},
590 {x^(-2) (b x+c x^2)^(-3/2),x},
591 {x^(-3) (a+b x+c x^2)^(-3/2),x},
592 {x^(-3) (b x+c x^2)^(-3/2),x},
593 {x^(-1) ((a+b x+c x^2)^3)^(-1/2),x},
594 {x^(-1) ((b x+c x^2)^3)^(-1/2),x},
595 {x^(-2) ((a+b x+c x^2)^3)^(-1/2),x},
596 {x^(-2) ((b x+c x^2)^3)^(-1/2),x},
597 {x^(-3) ((a+b x+c x^2)^3)^(-1/2),x},
598 {x^(-3) ((b x+c x^2)^3)^(-1/2),x},
600 {(a+c x^2)^(5/2),x},
601 {(a+c x^2)^(3/2),x},
602 {(a+c x^2)^(1/2),x},
603 {(a+c x^2)^(-1/2),x},
604 {(a+c x^2)^(-3/2),x},
605 {(a+c x^2)^(-n-1/2),x},                 (* Ret2.2 *)
606 {x (a+c x^2)^(-n-1/2),x},
608 {x^2 (a+c x^2)^(3/2),x},
609 {x^2 (a+c x^2)^(1/2),x},
610 {x^2 (a+c x^2)^(-1/2),x},
611 {x^2 (a+c x^2)^(-3/2),x},
612 {x^2 (a+c x^2)^(-5/2),x},
613 {x^2 (a+c x^2)^(-n-1/2),x},             (* Ret2.2 *)
614 {x^3 (a+c x^2)^(-n-1/2),x},
616 {x^4 (a+c x^2)^(3/2),x},
617 {x^4 (a+c x^2)^(1/2),x},
618 {x^4 (a+c x^2)^(-1/2),x},
619 {x^4 (a+c x^2)^(-3/2),x},
620 {x^4 (a+c x^2)^(-5/2),x},
621 {x^4 (a+c x^2)^(-7/2),x},
622 {x^4 (a+c x^2)^(-n-1/2),x},             (* Ret2.2 *)
623 {x^5 (a+c x^2)^(-n-1/2),x},
625 {x^6 (a+c x^2)^(3/2),x},
626 {x^6 (a+c x^2)^(1/2),x},
627 {x^6 (a+c x^2)^(-1/2),x},
628 {x^6 (a+c x^2)^(-3/2),x},
629 {x^6 (a+c x^2)^(-5/2),x},
630 {x^6 (a+c x^2)^(-7/2),x},
631 {x^6 (a+c x^2)^(-9/2),x},
632 {x^6 (a+c x^2)^(-n-1/2),x},             (* Ret2.2 *)
633 {x^7 (a+c x^2)^(-n-1/2),x},
635 {x^(-1) (a+c x^2)^(5/2),x},
636 {x^(-1) (a+c x^2)^(3/2),x},
637 {x^(-1) (a+c x^2)^(1/2),x},
638 {x^(-1) (a+c x^2)^(-1/2),x},
639 {x^(-1) (a+c x^2)^(-n-1/2),x},          (* Ret2.2 *)
640 {x^(-2) (a+c x^2)^(5/2),x},
641 {x^(-2) (a+c x^2)^(3/2),x},
642 {x^(-2) (a+c x^2)^(1/2),x},
643 {x^(-2) (a+c x^2)^(-n-1/2),x},          (* Ret2.2 *)
645 {x^(-3) (a+c x^2)^(5/2),x},
646 {x^(-3) (a+c x^2)^(3/2),x},
647 {x^(-3) (a+c x^2)^(1/2),x},
648 {x^(-3) (a+c x^2)^(-1/2),x},
649 {x^(-3) (a+c x^2)^(-3/2),x},
650 {x^(-3) (a+c x^2)^(-5/2),x},
651 {x^(-4) (a+c x^2)^(5/2),x},
652 {x^(-4) (a+c x^2)^(3/2),x},
653 {x^(-4) (a+c x^2)^(1/2),x},
654 {x^(-4) (a+c x^2)^(-n-1/2),x},          (* Ret2.2 *)
656 {x^(-5) (a+c x^2)^(3/2),x},
657 {x^(-5) (a+c x^2)^(1/2),x},
658 {x^(-5) (a+c x^2)^(-1/2),x},
659 {x^(-5) (a+c x^2)^(-3/2),x},
661 {x^(-6) (a+c x^2)^(3/2),x},
662 {x^(-6) (a+c x^2)^(1/2),x},
663 {x^(-6) (a+c x^2)^(-1/2),x},
664 {x^(-6) (a+c x^2)^(-n-1/2),x},          (* Ret2.2 *)
666 {(x+p)^(-n) (a+b x+c x^2)^(-1/2),x},  (* GEN *)
668 {(x+p)^(-1) (a+b x+c x^2)^(1/2),x},
669 {(x+p)^(-1) (x+q)^(-1) (a+b x+c x^2)^(-1/2),x},
670 {(x+p)^(-1) (x+q)^(-1) (a+b x+c x^2)^(1/2),x},
671 {(x+p)(x+q)^(-1) (a+b x+c x^2)^(1/2),x},
672 {(r x+s) (x+p)^(-1) (x+q)^(-1) (a+b x+c x^2)^(-1/2),x},
674  {(A x+B) (p+a+b x+c x^2)^(-n) (a+b x+c x^2)^(-1/2),x},
676 {(A x+B) (p+a+b x+c x^2)^(-1) (a+b x+c x^2)^(-1/2),x},
678 {(1-x^6)^(-1/2),x},
679 {(a+b x^2+c x^4+d x^6)^(-1/2),x},       (* Ret2.2 *)
680 {(a+2 b x+c x^2+d x^3)^(1/3),x},  (* GEN *)
681 {(a+2 b x+c x^2+d x^3)^(-1/3),x}, (* GEN *)
682 {(a+b x+c x^2+d x^3+c x^4+b x^5+a x^6)^(-1/2),x},  (* Ret2.2 *) (* FS hangs *)                     …
683 {(a+b x^2+c x^4+b x^6+a x^8)^(-1/2),x}, (* Ret2.2 *)     (* FS hangs *)
684 {(a+b x^4+c x^8)^(-1/2),x},             (* Ret2.2 *)     (* FS hangs? *)                           …
685 {x (a+b x^2+c x^4)^(-1/4),x},           (* Ret2.2 *)   (* FS hangs? *)                             …
686 {(a+2 b x^2+c x^4)^(-1/4),x},           (* Ret2.2 *)   (* FS hangs? *)                             …
692 {Exp[a x],x},
694 {1/(a+b Exp[m x]),x},
695 {1/(1+Exp[x]),x},
697 {1/(a Exp[m x]+b Exp[-m x]),x},
699 {(a+b Exp[m x])^(-1/2),x},
701 {x^m Exp[a x],x},                       (* Ret2.2 *)
703 {x Exp[a x],x},
704 {x^2 Exp[a x],x},
705 {x^3 Exp[a x],x},
707 {x^(-m) Exp[a x],x},                    (* Ret2.2 *)                                               …
709 {x^(-1) Exp[a x],x},
710 {x^(-2) Exp[a x],x},
711 {x^(-3) Exp[a x],x},
713 {x Exp[a x]/(1+a x)^2,x},
719 {Sinh[x]^p Cosh[x]^q,x},                (* Ret2.2 *)
721 {Sinh[x]^p Cosh[x]^(2n),x},             (* Ret2.2 *)
722 {Sinh[x]^(2m),x},                       (* Ret2.2 *)
723 {Sinh[x]^(2m+1),x},                     (* Ret2.2 *)
724 {Sinh[x]^p Cosh[x]^(2n+1),x},           (* Ret2.2 *)
726 {Cosh[x]^p Sinh[x]^(2n),x},             (* Ret2.2 *)
727 {Cosh[x]^(2m),x},                       (* Ret2.2 *)
728 {Cosh[x]^(2m+1),x},                     (* Ret2.2 *)
729 {Cosh[x]^p Sinh[x]^(2n+1),x},           (* Ret2.2 *)
731 {Sinh[a x],x},
732 {Sinh[a x]^2,x},
733 {Sinh[x]^3,x},
734 {Sinh[x]^4,x},
735 {Sinh[x]^5,x},
736 {Sinh[x]^6,x},
737 {Sinh[x]^7,x},
738 {Cosh[a x],x},
739 {Cosh[a x]^2,x},
740 {Cosh[x]^3,x},
741 {Cosh[x]^4,x},
742 {Cosh[x]^5,x},
743 {Cosh[x]^6,x},
744 {Cosh[x]^7,x},
746 {Sinh[a x] Cosh[b x],x},
747 {Sinh[a x] Cosh[a x],x},
748 {Sinh[x]^2 Cosh[x],x},
749 {Sinh[x]^3 Cosh[x],x},
750 {Sinh[x]^4 Cosh[x],x},
751 {Sinh[x] Cosh[x]^2,x},
752 {Sinh[x]^2 Cosh[x]^2,x},
753 {Sinh[x]^3 Cosh[x]^2,x},
754 {Sinh[x]^4 Cosh[x]^2,x},
755 {Sinh[x] Cosh[x]^3,x},
756 {Sinh[x]^2 Cosh[x]^3,x},
757 {Sinh[x]^3 Cosh[x]^3,x},
758 {Sinh[x]^4 Cosh[x]^3,x},
759 {Sinh[x] Cosh[x]^4,x},
760 {Sinh[x]^2 Cosh[x]^4,x},
761 {Sinh[x]^3 Cosh[x]^4,x},
762 {Sinh[x]^4 Cosh[x]^4,x},
764 {Sinh[x]^p Cosh[x]^(-2 n),x},           (* Ret2.2 *)
765 {Sinh[x]^(-2 m),x},                     (* Ret2.2 *)                                               …
766 {Sinh[x]^(-2 m-1),x},                   (* Ret2.2 *)                                               …
768 {Sinh[x]^p Cosh[x]^(-2 n-1),x},         (* Ret2.2 *)
769 {Sinh[x]^(2m+1) Cosh[x]^(-1),x},        (* Ret2.2 *)
770 {Sinh[x]^(2m) Cosh[x]^(-1),x},          (* Ret2.2 *)
771 {Sinh[x]^(-2m-1) Cosh[x]^(-1),x},       (* Ret2.2 *)
772 {Sinh[x]^(-2m) Cosh[x]^(-1),x},         (* Ret2.2 *)
774 {Sinh[x]^(-2 n) Cosh[x]^p,x},           (* Ret2.2 *)
775 {Cosh[x]^(-2m),x},                      (* Ret2.2 *)
776 {Cosh[x]^(-2m-1),x},                    (* Ret2.2 *)
778 {Sinh[x]^(-2 n-1) Cosh[x]^p,x},         (* Ret2.2 *)
779 {Sinh[x]^(-1) Cosh[x]^(2m),x},          (* Ret2.2 *)
780 {Sinh[x]^(-1) Cosh[x]^(2m+1),x},        (* Ret2.2 *)
781 {Sinh[x]^(-1) Cosh[x]^(-2m),x},         (* Ret2.2 *)
782 {Sinh[x]^(-1) Cosh[x]^(-2m-1),x},       (* Ret2.2 *)
784 {Sinh[x]^(2 n+1) Cosh[x]^(-m),x},       (* Ret2.2 *)
785 {Sinh[x]^(-m) Cosh[x]^(2 n+1),x},       (* Ret2.2 *)
787 {Sinh[x]^(-2 m) Cosh[x]^(-2n),x},       (* Ret2.2 *)
788 {Sinh[x]^(-2 m-1) Cosh[x]^(-2n-1),x},   (* Ret2.2 *)
790 {Sinh[x]^(-1),x},
791 {Sinh[x]^(-2),x},
792 {Sinh[x]^(-3),x},
793 {Sinh[x]^(-4),x},
794 {Sinh[x]^(-5),x},
795 {Sinh[x]^(-6),x},
796 {Sinh[x]^(-7),x},
797 {Sinh[x]^(-8),x},
798 {Cosh[x]^(-1),x},
799 {Cosh[x]^(-2),x},
800 {Cosh[x]^(-3),x},
801 {Cosh[x]^(-4),x},
802 {Cosh[x]^(-5),x},
803 {Cosh[x]^(-6),x},
804 {Cosh[x]^(-7),x},
805 {Cosh[x]^(-8),x},
806 {Sinh[x] Cosh[x]^(-1),x},
807 {Sinh[x]^2 Cosh[x]^(-1),x},
808 {Sinh[x]^3 Cosh[x]^(-1),x},
809 {Sinh[x]^4 Cosh[x]^(-1),x},
810 {Sinh[x] Cosh[x]^(-2),x},
811 {Sinh[x]^2 Cosh[x]^(-2),x},
812 {Sinh[x]^3 Cosh[x]^(-2),x},
813 {Sinh[x]^4 Cosh[x]^(-2),x},
814 {Sinh[x] Cosh[x]^(-3),x},
815 {Sinh[x]^2 Cosh[x]^(-3),x},
816 {Sinh[x]^3 Cosh[x]^(-3),x},
817 {Sinh[x]^4 Cosh[x]^(-3),x},
818 {Sinh[x] Cosh[x]^(-4),x},
819 {Sinh[x]^2 Cosh[x]^(-4),x},
820 {Sinh[x]^3 Cosh[x]^(-4),x},
821 {Sinh[x]^4 Cosh[x]^(-4),x},
822 {Cosh[x] Sinh[x]^(-1),x},
823 {Cosh[x]^2 Sinh[x]^(-1),x},
824 {Cosh[x]^3 Sinh[x]^(-1),x},
825 {Cosh[x]^4 Sinh[x]^(-1),x},
826 {Cosh[x] Sinh[x]^(-2),x},
827 {Cosh[x]^2 Sinh[x]^(-2),x},
828 {Cosh[x]^3 Sinh[x]^(-2),x},
829 {Cosh[x]^4 Sinh[x]^(-2),x},
830 {Cosh[x] Sinh[x]^(-3),x},
831 {Cosh[x]^2 Sinh[x]^(-3),x},
832 {Cosh[x]^3 Sinh[x]^(-3),x},
833 {Cosh[x]^4 Sinh[x]^(-3),x},
834 {Cosh[x] Sinh[x]^(-4),x},
835 {Cosh[x]^2 Sinh[x]^(-4),x},
836 {Cosh[x]^3 Sinh[x]^(-4),x},
837 {Cosh[x]^4 Sinh[x]^(-4),x},
838 {Sinh[x]^(-1) Cosh[x]^(-1),x},
839 {Sinh[x]^(-1) Cosh[x]^(-2),x},
840 {Sinh[x]^(-1) Cosh[x]^(-3),x},
841 {Sinh[x]^(-1) Cosh[x]^(-4),x},
842 {Sinh[x]^(-2) Cosh[x]^(-1),x},
843 {Sinh[x]^(-2) Cosh[x]^(-2),x},
844 {Sinh[x]^(-2) Cosh[x]^(-3),x},
845 {Sinh[x]^(-2) Cosh[x]^(-4),x},
846 {Sinh[x]^(-3) Cosh[x]^(-1),x},
847 {Sinh[x]^(-3) Cosh[x]^(-2),x},
848 {Sinh[x]^(-3) Cosh[x]^(-3),x},
849 {Sinh[x]^(-3) Cosh[x]^(-4),x},
850 {Sinh[x]^(-4) Cosh[x]^(-1),x},
851 {Sinh[x]^(-4) Cosh[x]^(-2),x},
852 {Sinh[x]^(-4) Cosh[x]^(-3),x},
853 {Sinh[x]^(-4) Cosh[x]^(-4),x},
855 {Tanh[x]^p,x},                          (* Ret2.2 *)                                               …
856 {Coth[x]^p,x},                          (* Ret2.2 *)                                               …
858 {Sinh[a x+b] Sinh[c x+d],x},
859 {Sinh[a x+b] Cosh[c x+d],x},
860 {Cosh[a x+b] Cosh[c x+d],x},
861 {Sinh[a x+b] Sinh[a x+d],x},
862 {Sinh[a x+b] Cosh[a x+d],x},
863 {Cosh[a x+b] Cosh[a x+d],x},
865 {Sinh[a x] Sinh[b x] Sinh[c x],x},
866 {Sinh[a x] Sinh[b x] Cosh[c x],x},
867 {Sinh[a x] Cosh[b x] Cosh[c x],x},
868 {Cosh[a x] Cosh[b x] Cosh[c x],x},
870 {Sinh[x]^p Sinh[a x],x},                (* Ret2.2 *)
872 {Sinh[x]^p Cosh[a x],x},                (* Ret2.2 *)
874 {Cosh[x]^p Sinh[a x],x},                (* Ret2.2 *)
876 {Cosh[x]^p Cosh[a x],x},                (* Ret2.2 *)
878 {Sinh[(n+1) x] Sinh[x]^(n-1),x},        (* Ret2.2 *)                                               …
879 {Sinh[(n+1) x] Cosh[x]^(n-1),x},        (* Ret2.2 *)                                               …
880 {Cosh[(n+1) x] Sinh[x]^(n-1),x},        (* Ret2.2 *)                                               …
881 {Cosh[(n+1) x] Cosh[x]^(n-1),x},        (* Ret2.2 *)                                               …
884 {Sinh[(2n+1) x] Sinh[x]^(-1),x},        (* Ret2.2 *)
885 {Sinh[2n x] Sinh[x]^(-1),x},            (* Ret2.2 *)
886 {Cosh[(2n+1) x] Sinh[x]^(-1),x},        (* Ret2.2 *)
887 {Cosh[2n x] Sinh[x]^(-1),x},            (* Ret2.2 *)
888 {Sinh[(2n+1) x] Cosh[x]^(-1),x},        (* Ret2.2 *)
889 {Sinh[2n x] Cosh[x]^(-1),x},            (* Ret2.2 *)
890 {Cosh[(2n+1) x] Cosh[x]^(-1),x},        (* Ret2.2 *)
891 {Cosh[2n x] Cosh[x]^(-1),x},            (* Ret2.2 *)
892 {Sinh[2 x] Sinh[x]^(-n),x},
893 {Sinh[2 x] Sinh[x]^(-2),x},
894 {Sinh[2 x] Cosh[x]^(-n),x},
895 {Sinh[2 x] Cosh[x]^(-2),x},
896 {Cosh[2 x] Sinh[x]^(-1),x},
897 {Cosh[2 x] Sinh[x]^(-2),x},
898 {Cosh[2 x] Sinh[x]^(-3),x},
899 {Cosh[2 x] Cosh[x]^(-1),x},
900 {Cosh[2 x] Cosh[x]^(-2),x},
901 {Cosh[2 x] Cosh[x]^(-3),x},
902 {Sinh[3 x] Sinh[x]^(-1),x},
903 {Sinh[3 x] Sinh[x]^(-2),x},
904 {Sinh[3 x] Sinh[x]^(-3),x},
905 {Sinh[3 x] Cosh[x]^(-n),x},
906 {Sinh[3 x] Cosh[x]^(-1),x},
907 {Sinh[3 x] Cosh[x]^(-3),x},
908 {Cosh[3 x] Sinh[x]^(-n),x},
909 {Cosh[3 x] Sinh[x]^(-1),x},
910 {Cosh[3 x] Sinh[x]^(-3),x},
911 {Cosh[3 x] Cosh[x]^(-1),x},
912 {Cosh[3 x] Cosh[x]^(-2),x},
913 {Cosh[3 x] Cosh[x]^(-3),x},
915 {(A+B Sinh[x])(a+b Sinh[x])^(-n),x},(* GEN *)
916 {(A+B Sinh[x])(a+b Sinh[x])^(-1),x},
917 {(a+b Sinh[x])^(-1),x},
919 {(A+B Cosh[x])(a+b Sinh[x])^(-n),x}, (* GEN *)
920 {(A+B Cosh[x])(a+b Sinh[x])^(-1),x},    (* Ret2.2 *)
922 {(A+B Cosh[x])(a+b Cosh[x])^(-n),x}, (* GEN *)
923 {(A+B Cosh[x])(a+b Cosh[x])^(-1),x},
924 {(a+b Cosh[x])^(-1),x},
926 {(Cosh[a]+Cosh[x])^(-1),x},             (* hangs 2.2 *)
927 {(Cos[a]+Cosh[x])^(-1),x},              (* hangs? 2.2 *)
929 {(A+B Sinh[x])(a+b Cosh[x])^(-n),x},  (* GEN *)
930 {(A+B Sinh[x])(a+b Cosh[x])^(-1),x},    (* Ret2.2 *)
932 {(A+B Cosh[x])(e+Cosh[x])^(-n),x},  (* GEN *)
933 {(A+B Cosh[x])(e+Cosh[x])^(-1),x},
935 {Sinh[x] (a Cosh[x]+b Sinh[x])^(-1),x},
936 {Sinh[x] (Cosh[x]+Sinh[x])^(-1),x},
937 {Sinh[x] (Cosh[x]-Sinh[x])^(-1),x},
939 {Cosh[x] (a Cosh[x]+b Sinh[x])^(-1),x},
940 {Cosh[x] (Cosh[x]+Sinh[x])^(-1),x},
941 {Cosh[x] (Cosh[x]-Sinh[x])^(-1),x},
943 {(a Cosh[x]+b Sinh[x])^(-n),x},         (* Ret2.2 *)                                               …
944 {(a Cosh[x]+b Sinh[x])^(-1),x},
945 {(Cosh[x]+Sinh[x])^(-1),x},
946 {(Cosh[x]-Sinh[x])^(-1),x},
948 {(A+B Cosh[x]+C Sinh[x])(a+b Cosh[x]+c Sinh[x])^(-n),x},   (* GEN Appel*)
949 {(A+B Cosh[x]+C Sinh[x])(a+b Cosh[x]+c Sinh[x])^(-1),x},
951 {(A+B Cosh[x]+C Sinh[x])(a+b Cosh[x]+b Sinh[x])^(-1),x},
952 {(A+B Cosh[x]+C Sinh[x])(a+b Cosh[x]-b Sinh[x])^(-1),x},
953 {(a+b Cosh[x]+c Sinh[x])^(-1),x},
955 {(A+B Cosh[x]+C Sinh[x])(a1+b1 Cosh[x]+c1 Sinh[x])^(-1)(a+b Cosh[x]+
956 …c Sinh[x])^(-1),x},                    (* hangs 2.2 *)         (* Bus er FS *)                    …
957 {(A+Cosh[x]^2+2B Sinh[x] Cosh[x]+C Sinh[x]^2)(a Cosh[x]^2+2b Sinh[x] Cosh[x]+
958 …c Sinh[x]^2)^(-1),x},                  (* hangs 2.2 *)       (* Bus er FS ? *)                    …
960 {(A+B Sinh[x]) Sinh[x]^(-1)(a+b Sinh[x])^(-1),x},
961 {(A+B Sinh[x]) Sinh[x]^(-1)(a+b Cosh[x])^(-1),x},  (* Ret2.2 *)
962 {(A+B Sinh[x]) Sinh[x]^(-1)(1+Cosh[x])^(-1),x},
963 {(A+B Sinh[x]) Sinh[x]^(-1)(1-Cosh[x])^(-1),x},
965 {(A+B Sinh[x]) Cosh[x]^(-1)(a+b Sinh[x])^(-1),x},
966 {(A+B Cosh[x]) Sinh[x]^(-1)(a+b Sinh[x])^(-1),x},  (* Ret2.2 *)
968 {(A+B Cosh[x]) Sinh[x]^(-1)(a+b Cosh[x])^(-1),x},
969 {(A+B Cosh[x]) Sinh[x]^(-1)(1+Cosh[x])^(-1),x},
970 {(A+B Cosh[x]) Sinh[x]^(-1)(1-Cosh[x])^(-1),x},
972 {(A+B Cosh[x]) Cosh[x]^(-1)(a+b Sinh[x])^(-1),x},  (* Ret2.2 *)
974 {(A+B Cosh[x]) Cosh[x]^(-1)(a+b Cosh[x])^(-1),x},
976 {(a+b Sinh[x]^2)^(-1),x},
977 {(a+b Cosh[x]^2)^(-1),x},
978 {(1+Sinh[x]^2)^(-1),x},
979 {(1-Sinh[x]^2)^(-1),x},
980 {(1+Cosh[x]^2)^(-1),x},
981 {(1-Cosh[x]^2)^(-1),x},
983 {(a+b Sinh[x]^2)^(-2),x},
984 {(a+b Cosh[x]^2)^(-2),x},
985 {(a+b Sinh[x]^2)^(-3),x},
986 {(a+b Cosh[x]^2)^(-3),x},
988 {Tanh[x]^(1/2),x},
989 {Coth[x]^(1/2),x},
991 {Sinh[x] (a^2+Sinh[x]^2)^(-1/2),x},
992 {Sinh[x] (a^2-Sinh[x]^2)^(-1/2),x},
993 {Sinh[x] (-a^2+Sinh[x]^2)^(-1/2),x},
994 {Cosh[x] (a^2+Sinh[x]^2)^(-1/2),x},
995 {Cosh[x] (a^2-Sinh[x]^2)^(-1/2),x},
996 {Cosh[x] (-a^2+Sinh[x]^2)^(-1/2),x},
997 {Sinh[x] (a^2+Cosh[x]^2)^(-1/2),x},
998 {Sinh[x] (a^2-Cosh[x]^2)^(-1/2),x},
999 {Sinh[x] (-a^2+Cosh[x]^2)^(-1/2),x},
1000 {Cosh[x] (a^2+Cosh[x]^2)^(-1/2),x},
1001 {Cosh[x] (a^2-Cosh[x]^2)^(-1/2),x},
1002 {Cosh[x] (-a^2+Cosh[x]^2)^(-1/2),x},
1003 {Coth[x] (a+b Sinh[x])^(-1/2),x},
1004 {Tanh[x] (a+b Cosh[x])^(-1/2),x},
1006 {Sinh[x] (a+b Cosh[x])^(1/2)(p+q Cosh[x])^(-1),x},
1007 {Cosh[x] (a+b Sinh[x])^(1/2)(p+q Sinh[x])^(-1),x},
1009 {(k^2+(1-k^2) Cosh[x])^(-1/2),x},
1010 {(-k^2+Cosh[x])^(-1/2),x},
1011 {(1-(1-k^2) Cosh[x])^(-1/2),x},
1012 {Sinh[2 a x]^(-1/2),x},
1013 {Sinh[2 a x]^(1/2),x},
1014 {Cosh[2 a x]^2 (1+Sinh[2 a x])^(-2) Sinh[2 a x]^(-1/2),x},
1015 {(1-Sinh[2 a x]^2)^2 (1+Sinh[2 a x])^(-2) Sinh[2 a x]^(-1/2),x},
1016 {(1+Sinh[2 a x])^(-2) Sinh[2 a x]^(1/2),x},
1017 {Cosh[2 a x]^(-1/2),x},
1018 {Cosh[2 a x]^(1/2),x},
1019 {Cosh[2 a x]^(-3/2),x},
1020 {(Cosh[2 a x]^3)^(-1/2),x},
1021 {Cosh[2 a x]^(-5/2),x},
1022 {(Cosh[2 a x]^5)^(-1/2),x},
1023 {Sinh[2 a x]^2 Cosh[2 a x]^(-1/2),x},
1024 {Tanh[2 a x]^2 Cosh[2 a x]^(-1/2),x},
1025 {(p^2+(1-p^2) Cosh[2 a x])^(-1) Cosh[2 a x]^(1/2),x},
1026 {(a+b Sinh[x])^(-1/2),x},
1027 {(a+b Sinh[x])^(1/2),x},
1028 {Cosh[x]^(-2) (a+b Sinh[x])^(1/2),x},
1029 {Cosh[x]^2 (Sqrt[a^2+b^2]+a+b Sinh[x])^(-2) (a+b Sinh[x])^(-1/2),x},
1031 {(Sqrt[a^2+b^2]-a-b Sinh[x])^(-2) (a+b Sinh[x])^(1/2),x},  (* hangs 2.2 *)
1034 {(a+b Cosh[x])^(-1/2),x},
1035 {(a+b Cosh[x])^(1/2),x},
1036 {Cosh[x] (a+b Cosh[x])^(-1/2),x},
1037 {Tanh[x/2]^2 (a+b Cosh[x])^(-1/2),x},
1038 {Tanh[x/2]^4 (a+b Cosh[x])^(-1/2),x},
1039 {(Cosh[x]-1) (a+b Cosh[x])^(-1/2),x},
1040 {(Cosh[x]-1)^2 (a+b Cosh[x])^(-1/2),x},
1041 {(Cosh[x]+1)^(-1) (a+b Cosh[x])^(1/2),x},
1042 {(Cosh[x]+1)^(-1) (a+b Cosh[x])^(-1/2),x},
1043 {(Cosh[x]+1)^(-2) (a+b Cosh[x])^(-1/2),x},
1044 {(Cosh[x]+1)(1+p^2+(1-p^2) Cosh[x])^(-1) (a+b Cosh[x])^(-1/2),x},(* hangs FS *)
1046 {(a-b Cosh[x])^(-1/2),x},
1047 {(a-b Cosh[x])^(1/2),x},
1048 {Cosh[x] (a-b Cosh[x])^(-1/2),x},
1049 {Cosh[x]^2 (a-b Cosh[x])^(-1/2),x},
1050 {(Cosh[x]+1)(a-b Cosh[x])^(-1/2),x},
1051 {Cosh[x]^(-1)(a-b Cosh[x])^(-1/2),x},
1052 {(Cosh[x]+1)^(-1)(a-b Cosh[x])^(-1/2),x},
1053 {(Cosh[x]+1)^(-2)(a-b Cosh[x])^(-1/2),x},
1054 {(a-b-a p^2+b p^2 Cosh[x])^(-1)(a-b Cosh[x])^(-1/2),x},
1055 {(-a+b Cosh[x])^(-1/2),x},
1056 {(-a+b Cosh[x])^(1/2),x},
1057 {(-a+b Cosh[x])^(-3/2),x},
1058 {((-a+b Cosh[x])^3)^(-1/2),x},
1059 {(-a+b Cosh[x])^(-5/2),x},
1060 {((-a+b Cosh[x])^5)^(-1/2),x},
1061 {Cosh[x] (-a+b Cosh[x])^(-1/2),x},
1062 {(Cosh[x]+1) (-a+b Cosh[x])^(-3/2),x},
1063 {(Cosh[x]+1) ((-a+b Cosh[x])^3)^(-1/2),x},
1064 {(p^2 b-a+b (1-p^2)Cosh[x])^(-1) (-a+b Cosh[x])^(1/2),x},
1065 {(-a+b Cosh[x])^(-1/2),x},
1066 {(-a+b Cosh[x])^(1/2),x},
1067 {Coth[x/2]^2 (-a+b Cosh[x])^(-1/2),x},
1068 {(Cosh[x]-1)^(-1) (-a+b Cosh[x])^(1/2),x},
1069 {(Cosh[x]-1)^(-1) (-a+b Cosh[x])^(-1/2),x},
1070 {(Cosh[x]-1)^(-2) (-a+b Cosh[x])^(-1/2),x},
1071 {(Cosh[x]+1)^(-1) (-a+b Cosh[x])^(-1/2),x},
1072 {(Cosh[x]+1)^(-2) (-a+b Cosh[x])^(-1/2),x},
1073 {(a Sinh[x]+b Cosh[x])^(-1/2),x},
1074 {(a Sinh[x]+b Cosh[x])^(1/2),x},
1075 {(a Sinh[x]+b Cosh[x])^(-3/2),x},
1076 {((a Sinh[x]+b Cosh[x])^3)^(-1/2),x},
1077 {(a Sinh[x]+b Cosh[x])^(-5/2),x},                               (* hangs FS *)                     …
1078 {((a Sinh[x]+b Cosh[x])^5)^(-1/2),x},                           (* hangs FS *)                     …
1079 {(Sqrt[b^2-a^2]+a Sinh[x]+b Cosh[x]) (a Sinh[x]+b Cosh[x])^(-3/2),x},
1081 {(Sqrt[b^2-a^2]+a Sinh[x]+b Cosh[x])((a Sinh[x]+b Cosh[x])^3)^(-1/2),x},                           …
1083  {x^r Sinh[x]^p Cosh[x]^q,x},      (* ********* Return GENERICALLY ********* *)
1084  {x^n Sinh[x]^(2m),x},             (* ********* Return GENERICALLY ********* *)
1085  {x^n Sinh[x]^(2m+1),x},           (* ********* Return GENERICALLY ********* *)
1086  {x^n Cosh[x]^(2m),x},             (* ********* Return GENERICALLY ********* *)
1087  {x^n Cosh[x]^(2m+1),x},           (* ********* Return GENERICALLY ********* *)
1090 {x^n Sinh[x],x},                        (* Ret2.2 *)
1091 {x^n Cosh[x],x},                        (* Ret2.2 *)
1092 {x Sinh[x],x},
1093 {x^2 Sinh[x],x},
1094 {x Cosh[x],x},
1095 {x^2 Cosh[x],x},
1097 {(a+b x) Sinh[k x],x},
1098 {(a+b x) Cosh[k x],x},
1099 {(a+b x)^2 Sinh[k x],x},
1100 {(a+b x)^2 Cosh[k x],x},
1101 {(a+b x)^3 Sinh[k x],x},
1102 {(a+b x)^3 Cosh[k x],x},
1103 {(a+b x)^4 Sinh[k x],x},
1104 {(a+b x)^4 Cosh[k x],x},
1105 {(a+b x)^5 Sinh[k x],x},
1106 {(a+b x)^5 Cosh[k x],x},
1107 {(a+b x)^6 Sinh[k x],x},
1108 {(a+b x)^6 Cosh[k x],x},
1110 {x^n Sinh[x]^2,x},                      (* Ret2.2 *)
1111 {x^n Cosh[x]^2,x},                      (* Ret2.2 *)
1112 {x Sinh[x]^2,x},
1113 {x^2 Sinh[x]^2,x},
1114 {x Cosh[x]^2,x},
1115 {x^2 Cosh[x]^2,x},
1116 {x^n Sinh[x]^3,x},                      (* Ret2.2 *)
1117 {x^n Cosh[x]^3,x},                      (* Ret2.2 *)
1118 {x Sinh[x]^3,x},
1119 {x^2 Sinh[x]^3,x},
1120 {x Cosh[x]^3,x},
1121 {x^2 Cosh[x]^3,x},
1123  {x^(-p) Sinh[x]^q,x},             (* ********* Return GENERICALLY ********* *)
1124  {x^(-p) Cosh[x]^q,x},             (* ********* Return GENERICALLY ********* *)
1125 {x^(-2n) Sinh[x],x},                    (* Ret2.2 *)
1126 {x^(-2n-1) Sinh[x],x},                  (* Ret2.2 *)
1127 {x^(-2n) Cosh[x],x},                    (* Ret2.2 *)
1128 {x^(-2n-1) Cosh[x],x},                  (* Ret2.2 *)
1129  {x^(-1) Sinh[x]^(2m),x},          (* ********* Return GENERICALLY ********* *)
1130  {x^(-1) Sinh[x]^(2m+1),x},        (* ********* Return GENERICALLY ********* *)
1131  {x^(-1) Cosh[x]^(2m),x},          (* ********* Return GENERICALLY ********* *)
1132  {x^(-1) Cosh[x]^(2m+1),x},        (* ********* Return GENERICALLY ********* *)
1133  {x^(-2) Sinh[x]^(2m),x},          (* ********* Return GENERICALLY ********* *)
1134  {x^(-2) Sinh[x]^(2m+1),x},        (* ********* Return GENERICALLY ********* *)
1135  {x^(-2) Cosh[x]^(2m),x},          (* ********* Return GENERICALLY ********* *)
1136  {x^(-2) Cosh[x]^(2m+1),x},        (* ********* Return GENERICALLY ********* *)
1138 {(a+b x)^(-1) Sinh[k x],x},
1139 {(a+b x)^(-1) Cosh[k x],x},
1140 {(a+b x)^(-2) Sinh[k x],x},
1141 {(a+b x)^(-2) Cosh[k x],x},
1142 {(a+b x)^(-3) Sinh[k x],x},
1143 {(a+b x)^(-3) Cosh[k x],x},
1144 {(a+b x)^(-4) Sinh[k x],x},
1145 {(a+b x)^(-4) Cosh[k x],x},
1146 {(a+b x)^(-5) Sinh[k x],x},
1147 {(a+b x)^(-5) Cosh[k x],x},
1148 {(a+b x)^(-6) Sinh[k x],x},
1149 {(a+b x)^(-6) Cosh[k x],x},
1151  {x^p Sinh[x]^(-q),x},             (* ********* Return GENERICALLY ********* *)
1152  {x^p Cosh[x]^(-q),x},             (* ********* Return GENERICALLY ********* *)
1153  {x^n Sinh[x]^(-1),x},             (* ********* Return GENERICALLY ********* *)
1154  {x^n Cosh[x]^(-1),x},             (* ********* Return GENERICALLY ********* *)
1155  {x^(-n) Sinh[x]^(-1),x},          (* ********* Return GENERICALLY ********* *)
1156  {x^(-n) Cosh[x]^(-1),x},          (* ********* Return GENERICALLY ********* *)
1157  {x^n Sinh[x]^(-2),x},             (* ********* Return GENERICALLY ********* *)
1158  {x^n Cosh[x]^(-2),x},             (* ********* Return GENERICALLY ********* *)
1159  {x^(-n) Sinh[x]^(-2),x},          (* ********* Return GENERICALLY ********* *)
1160  {x^(-n) Cosh[x]^(-2),x},          (* ********* Return GENERICALLY ********* *)
1161 {x Sinh[x]^(-2 n),x},                   (* Ret2.2 *) (* Ret FS *)
1162 {x Sinh[x]^(-1),x},                     (* Ret2.2 *)
1163 {x Cosh[x]^(-1),x},                     (* Ret2.2 *)
1164 {x Sinh[x]^(1-2 n),x},                  (* Ret2.2 *)  (* Ret FS *)
1165 {x Cosh[x]^(-2 n),x},                   (* Ret2.2 *)  (* Ret FS *)
1166 {x Cosh[x]^(1-2 n),x},                  (* Ret2.2 *)  (* Ret FS *)
1168 {x Sinh[x]^(-1),x},                     (* Ret2.2 *)
1169 {x Cosh[x]^(-1),x},                     (* Ret2.2 *)
1170 {x Sinh[x]^(-2),x},
1171 {x Cosh[x]^(-2),x},
1172 {x Sinh[x]^(-3),x},                     (* Ret2.2 *)                                               …
1173 {x Cosh[x]^(-3),x},                     (* Ret2.2 *)
1174 {x Sinh[x]^(-4),x},
1175 {x Cosh[x]^(-4),x},
1176 {x Sinh[x]^(-5),x},                     (* Ret2.2 *)                                               …
1177 {x Cosh[x]^(-5),x},                     (* Ret2.2 *)
1179  {x^n Cosh[x] (a+b Sinh[x])^(-m),x}, (* ******** Return GENERICALLY ******** *)
1180  {x^n Cosh[x] (a+b Cosh[x])^(-m),x}, (* ******** Return GENERICALLY ******** *)
1181 {x (1+Cosh[x])^(-1),x},
1182 {x (1-Cosh[x])^(-1),x},
1183 {x Sinh[x] (1+Cosh[x])^(-2),x},
1184 {x Sinh[x] (1-Cosh[x])^(-2),x},
1185 {x (Cosh[2 x]-Cos[2 t])^(-1),x},        (* Ret2.2 *)                                               …
1186 {x Cosh[x] (Cosh[2 x]-Cos[2 t])^(-1),x},(* Ret2.2 *)             (* hangs FS *)                    …
1188  {x^p Sinh[x]^(2m) Cosh[x]^(-n),x},  (* ******** Return GENERICALLY ******** *)
1189  {x^p Sinh[x]^(2m+1) Cosh[x]^(-n),x},(* ******** Return GENERICALLY ******** *)
1190  {x^p Sinh[x] Cosh[x]^(-n),x},       (* ******** Return GENERICALLY ******** *)
1191  {x^p Cosh[x]^(2m) Sinh[x]^(-n),x},  (* ******** Return GENERICALLY ******** *)
1192  {x^p Cosh[x]^(2m+1) Sinh[x]^(-n),x},(* ******** Return GENERICALLY ******** *)
1193  {x^p Cosh[x] Sinh[x]^(-n),x},       (* ******** Return GENERICALLY ******** *)
1194  {x^p Tanh[x],x},                    (* ******** Return GENERICALLY ******** *)
1195  {x^p Coth[x],x},                    (* ******** Return GENERICALLY ******** *)
1196 {x Cosh[x] Sinh[x]^(-2),x},
1197 {x Sinh[x] Cosh[x]^(-2),x},
1199 {Exp[a x] Sinh[b x+c],x},
1200 {Exp[a x] Cosh[b x+c],x},
1201 {Exp[a x] Sinh[a x+c],x},
1202 {Exp[-a x] Sinh[a x+c],x},
1203 {Exp[a x] Cosh[a x+c],x},
1204 {Exp[-a x] Cosh[a x+c],x},
1206 {x^p Exp[a x] Sinh[b x],x},             (* Ret2.2 *)
1207 {x^p Exp[a x] Cosh[b x],x},             (* Ret2.2 *)
1208 {x^p Exp[a x] Sinh[a x],x},             (* Ret2.2 *)
1209 {x^p Exp[-a x] Sinh[a x],x},            (* Ret2.2 *)
1210 {x^p Exp[a x] Cosh[a x],x},             (* Ret2.2 *)
1212 {x Exp[a x] Sinh[b x],x},
1213 {x Exp[a x] Cosh[b x],x},
1214 {x^2 Exp[a x] Sinh[b x],x},
1215 {x^2 Exp[a x] Cosh[b x],x},
1216 {x Exp[a x] Sinh[a x],x},
1217 {x Exp[-a x] Sinh[a x],x},
1218 {x Exp[a x] Cosh[a x],x},
1219 {x Exp[-a x] Cosh[a x],x},
1220 {x^2 Exp[a x] Sinh[a x],x},
1221 {x^2 Exp[-a x] Sinh[a x],x},
1222 {x^2 Exp[a x] Cosh[a x],x},
1224 {x^(-1) Exp[a x] Sinh[b x],x},          (* Ret2.2 *)                                               …
1225 {x^(-1) Exp[a x] Cosh[b x],x},          (* Ret2.2 *)                                               …
1226 {x^(-2) Exp[a x] Sinh[b x],x},          (* Ret2.2 *)                                               …
1227 {x^(-2) Exp[a x] Cosh[b x],x},          (* Ret2.2 *)                                               …
1228 {x^(-1) Exp[a x] Sinh[a x],x},
1229 {x^(-1) Exp[-a x] Sinh[a x],x},
1230 {x^(-1) Exp[a x] Cosh[a x],x},
1231 {x^(-2) Exp[a x] Sinh[a x],x},
1232 {x^(-2) Exp[-a x] Sinh[a x],x},
1233 {x^(-2) Exp[a x] Cosh[a x],x},
1239 {Sin[x]^p Cos[x]^q,x},                  (* Ret2.2 *)
1241 {Sin[x]^p Cos[x]^(2n),x},               (* Ret2.2 *)
1242 {Sin[x]^(2 l),x},                       (* Ret2.2 *)
1243 {Sin[x]^(2 l+1),x},                     (* Ret2.2 *)
1244 {Sin[x]^p Cos[x]^(2 n+1),x},            (* Ret2.2 *)
1246 {Cos[x]^p Sin[x]^(2n),x},               (* Ret2.2 *)
1247 {Cos[x]^(2l),x},                        (* Ret2.2 *)
1248 {Cos[x]^(2l+1),x},                      (* Ret2.2 *)                                               …
1249 {Cos[x]^p Sin[x]^(2n+1),x},             (* Ret2.2 *)
1251 {Sin[x]^(2n),x},                        (* Ret2.2 *)                                               …
1252 {Sin[x]^(2n+1),x},                      (* Ret2.2 *)                                               …
1253 {Cos[x]^(2n),x},                        (* Ret2.2 *)                                               …
1254 {Cos[x]^(2n+1),x},                      (* Ret2.2 *)
1255 {Sin[x]^2,x},
1256 {Sin[x]^3,x},
1257 {Sin[x]^4,x},
1258 {Sin[x]^5,x},
1259 {Sin[x]^6,x},
1260 {Sin[x]^7,x},
1261 {Cos[x]^2,x},
1262 {Cos[x]^3,x},
1263 {Cos[x]^4,x},
1264 {Cos[x]^5,x},
1265 {Cos[x]^6,x},
1266 {Cos[x]^7,x},
1267 {Sin[x] Cos[x]^2,x},
1268 {Sin[x] Cos[x]^3,x},
1269 {Sin[x] Cos[x]^4,x},
1270 {Sin[x]^2 Cos[x],x},
1271 {Sin[x]^2 Cos[x]^2,x},
1272 {Sin[x]^2 Cos[x]^3,x},
1273 {Sin[x]^2 Cos[x]^4,x},
1274 {Sin[x]^3 Cos[x],x},
1275 {Sin[x]^3 Cos[x]^2,x},
1276 {Sin[x]^3 Cos[x]^3,x},
1277 {Sin[x]^3 Cos[x]^4,x},
1278 {Sin[x]^4 Cos[x],x},
1279 {Sin[x]^4 Cos[x]^2,x},
1280 {Sin[x]^4 Cos[x]^3,x},
1281 {Sin[x]^4 Cos[x]^4,x},
1283 {Sin[x]^p Cos[x]^(-2 n),x},             (* Ret2.2 *)
1285 {Sin[x]^(-2 l),x},                      (* Ret2.2 *)
1286 {Sin[x]^(-2 l-1),x},                    (* Ret2.2 *)
1288 {Sin[x]^p Cos[x]^(-2 n-1),x},           (* Ret2.2 *)
1289 {Sin[x]^(2 l+1) Cos[x]^(-1),x},         (* Ret2.2 *)
1290 {Sin[x]^(2 l) Cos[x]^(-1),x},           (* Ret2.2 *)
1292 {Sin[x]^(-2m-1) Cos[x]^(-1),x},         (* Ret2.2 *)
1293 {Sin[x]^(-2m) Cos[x]^(-1),x},           (* Ret2.2 *)
1295 {Sin[x]^p Cos[x]^(-2),x},               (* Ret2.2 *)
1296 {Cos[x]^p Sin[x]^(-2n),x},              (* Ret2.2 *)
1298 {Cos[x]^(-2l),x},                       (* Ret2.2 *)
1299 {Cos[x]^(-2l-1),x},                     (* Ret2.2 *)
1301 {Cos[x]^p Sin[x]^(-2n-1),x},            (* Ret2.2 *)
1302 {Cos[x]^(2l+1) Sin[x]^(-1),x},          (* Ret2.2 *)
1303 {Cos[x]^(2l) Sin[x]^(-1),x},            (* Ret2.2 *)
1305 {Cos[x]^(-2m-1) Sin[x]^(-1),x},         (* Ret2.2 *)
1306 {Cos[x]^(-2m) Sin[x]^(-1),x},           (* Ret2.2 *)
1308 {Cos[x]^m Sin[x]^(-2),x},               (* Ret2.2 *)
1311 {Sin[x]^(2n+1) Cos[x]^(-m),x},          (* Ret2.2 *)
1312 {Cos[x]^(2n+1) Sin[x]^(-m),x},          (* Ret2.2 *)
1314 {Sin[x]^(-2m) Cos[x]^(-2n),x},          (* Ret2.2 *)
1315 {Sin[x]^(-2m-1) Cos[x]^(-2n-1),x},      (* Ret2.2 *)
1317 {Sin[x]^(-1),x},
1318 {Sin[x]^(-2),x},
1319 {Sin[x]^(-3),x},
1320 {Sin[x]^(-4),x},
1321 {Sin[x]^(-5),x},
1322 {Sin[x]^(-6),x},
1323 {Sin[x]^(-7),x},
1324 {Sin[x]^(-8),x},
1325 {Cos[x]^(-1),x},
1326 {Cos[x]^(-2),x},
1327 {Cos[x]^(-3),x},
1328 {Cos[x]^(-4),x},
1329 {Cos[x]^(-5),x},
1330 {Cos[x]^(-6),x},
1331 {Cos[x]^(-7),x},
1332 {Cos[x]^(-8),x},
1333 {Sin[x] Cos[x]^(-1),x},
1334 {Sin[x]^2 Cos[x]^(-1),x},
1335 {Sin[x]^3 Cos[x]^(-1),x},
1336 {Sin[x]^4 Cos[x]^(-1),x},
1337 {Sin[x] Cos[x]^(-2),x},
1338 {Sin[x]^2 Cos[x]^(-2),x},
1339 {Sin[x]^3 Cos[x]^(-2),x},
1340 {Sin[x]^4 Cos[x]^(-2),x},
1341 {Sin[x] Cos[x]^(-3),x},
1342 {Sin[x]^2 Cos[x]^(-3),x},
1343 {Sin[x]^3 Cos[x]^(-3),x},
1344 {Sin[x]^4 Cos[x]^(-3),x},
1345 {Sin[x] Cos[x]^(-4),x},
1346 {Sin[x]^2 Cos[x]^(-4),x},
1347 {Sin[x]^3 Cos[x]^(-4),x},
1348 {Sin[x]^4 Cos[x]^(-4),x},
1349 {Cos[x] Sin[x]^(-1),x},
1350 {Cos[x]^2 Sin[x]^(-1),x},
1351 {Cos[x]^3 Sin[x]^(-1),x},
1352 {Cos[x]^4 Sin[x]^(-1),x},
1353 {Cos[x] Sin[x]^(-2),x},
1354 {Cos[x]^2 Sin[x]^(-2),x},
1355 {Cos[x]^3 Sin[x]^(-2),x},
1356 {Cos[x]^4 Sin[x]^(-2),x},
1357 {Cos[x] Sin[x]^(-3),x},
1358 {Cos[x]^2 Sin[x]^(-3),x},
1359 {Cos[x]^3 Sin[x]^(-3),x},
1360 {Cos[x]^4 Sin[x]^(-3),x},
1361 {Cos[x] Sin[x]^(-4),x},
1362 {Cos[x]^2 Sin[x]^(-4),x},
1363 {Cos[x]^3 Sin[x]^(-4),x},
1364 {Cos[x]^4 Sin[x]^(-4),x},
1365 {Sin[x]^(-1) Cos[x]^(-1),x},
1366 {Sin[x]^(-1) Cos[x]^(-2),x},
1367 {Sin[x]^(-1) Cos[x]^(-3),x},
1368 {Sin[x]^(-1) Cos[x]^(-4),x},
1369 {Sin[x]^(-2) Cos[x]^(-1),x},
1370 {Sin[x]^(-2) Cos[x]^(-2),x},
1371 {Sin[x]^(-2) Cos[x]^(-3),x},
1372 {Sin[x]^(-2) Cos[x]^(-4),x},
1373 {Sin[x]^(-3) Cos[x]^(-1),x},
1374 {Sin[x]^(-3) Cos[x]^(-2),x},
1375 {Sin[x]^(-3) Cos[x]^(-3),x},
1376 {Sin[x]^(-3) Cos[x]^(-4),x},
1377 {Sin[x]^(-4) Cos[x]^(-1),x},
1378 {Sin[x]^(-4) Cos[x]^(-2),x},
1379 {Sin[x]^(-4) Cos[x]^(-3),x},
1380 {Sin[x]^(-4) Cos[x]^(-4),x},
1382 {Tan[x]^p,x},                           (* Ret2.2 *)
1383 {Tan[x]^(2n+1),x},                      (* Ret2.2 *)
1384 {Tan[x]^(2n),x},                        (* Ret2.2 *)
1385 {Cot[x]^p,x},                           (* Ret2.2 *)
1387 {Cot[x]^(2n+1),x},                      (* Ret2.2 *)
1388 {Cot[x]^(2n),x},                        (* Ret2.2 *)
1390 {Sin[a x+b],x},
1391 {Cos[a x+b],x},
1393 {Sin[a x+b] Sin[c x+d],x},
1394 {Sin[a x+b] Cos[c x+d],x},
1395 {Cos[a x+b] Cos[c x+d],x},
1396 {Sin[a x+b] Sin[a x+d],x},
1397 {Sin[a x+b] Cos[a x+d],x},
1398 {Cos[a x+b] Cos[a x+d],x},
1400 {Sin[a x] Cos[b x],x},
1401 {Sin[a x] Sin[b x] Sin[c x],x},
1402 {Sin[a x] Cos[b x] Cos[c x],x},
1403 {Cos[a x] Sin[b x] Sin[c x],x},
1404 {Cos[a x] Cos[b x] Cos[c x],x},
1406 {(Cos[p x]+I Sin[p x]) Sin[n x]^(-1),x},(* Ret2.2 *)
1407 {(Cos[p x]+I Sin[p x]) Cos[n x]^(-1),x},(* Ret2.2 *)
1409 {Sin[x]^p Sin[a x],x},                  (* Ret2.2 *)
1410 {Sin[x]^p Sin[(2n+1) x],x},             (* Ret2.2 *)
1411 {Sin[x]^p Sin[2n x],x},                 (* Ret2.2 *)
1413 {Sin[x]^p Cos[a x],x},                  (* Ret2.2 *)
1414 {Sin[x]^p Cos[(2n+1) x],x},             (* Ret2.2 *)
1415 {Sin[x]^p Cos[2n x],x},                 (* Ret2.2 *)
1417 {Cos[x]^p Sin[a x],x},                  (* Ret2.2 *)
1418 {Cos[x]^p Sin[(2n+1) x],x},             (* Ret2.2 *)
1419 {Cos[x]^p Sin[2n x],x},                 (* Ret2.2 *)
1421 {Cos[x]^p Cos[a x],x},                  (* Ret2.2 *)
1422 {Cos[x]^p Cos[(2n+1) x],x},             (* Ret2.2 *)
1423 {Cos[x]^p Cos[2n x],x},                 (* Ret2.2 *)
1425 {Sin[(2n+1) x] Sin[x]^(-1),x},          (* Ret2.2 *)
1426 {Sin[2n x] Sin[x]^(-1),x},              (* Ret2.2 *)
1427 {Cos[(2n+1) x] Sin[x]^(-1),x},          (* Ret2.2 *)
1428 {Cos[2n x] Sin[x]^(-1),x},              (* Ret2.2 *)
1429 {Sin[(2n+1) x] Cos[x]^(-1),x},          (* Ret2.2 *)
1430 {Sin[2n x] Cos[x]^(-1),x},              (* Ret2.2 *)
1431 {Cos[(2n+1) x] Cos[x]^(-1),x},          (* Ret2.2 *)
1432 {Cos[2n x] Cos[x]^(-1),x},              (* Ret2.2 *)
1434 {Sin[(n+1) x] Sin[x]^(n-1),x},          (* Ret2.2 *)
1435 {Sin[(n+1) x] Cos[x]^(n-1),x},          (* Ret2.2 *)                                               …
1436 {Cos[(n+1) x] Sin[x]^(n-1),x},          (* Ret2.2 *)                                               …
1437 {Cos[(n+1) x] Cos[x]^(n-1),x},          (* Ret2.2 *)                                               …
1438 {Sin[(n+1)(Pi/2-x)] Sin[x]^(n-1),x},    (* Ret2.2 *)
1439 {Cos[(n+1)(Pi/2-x)] Sin[x]^(n-1),x},    (* Ret2.2 *)
1441 {Sin[2 x] Sin[x]^(-n),x},
1442 {Sin[2 x] Sin[x]^(-2),x},
1444 {Sin[2 x] Cos[x]^(-n),x},
1445 {Sin[2 x] Cos[x]^(-2),x},
1447 {Cos[2 x] Sin[x]^(-1),x},
1448 {Cos[2 x] Sin[x]^(-2),x},
1449 {Cos[2 x] Sin[x]^(-3),x},
1450 {Cos[2 x] Cos[x]^(-1),x},
1451 {Cos[2 x] Cos[x]^(-2),x},
1452 {Cos[2 x] Cos[x]^(-3),x},
1453 {Sin[3 x] Sin[x]^(-1),x},
1454 {Sin[3 x] Sin[x]^(-2),x},
1455 {Sin[3 x] Sin[x]^(-3),x},
1457 {Sin[3 x] Cos[x]^(-n),x},
1458 {Sin[3 x] Cos[x]^(-1),x},
1459 {Sin[3 x] Cos[x]^(-3),x},
1461 {Cos[3 x] Sin[x]^(-n),x},
1462 {Cos[3 x] Sin[x]^(-1),x},
1463 {Cos[3 x] Sin[x]^(-3),x},
1465 {Sin[n x] Cos[x]^(-p),x},               (* Ret2.2 *)
1466 {Cos[3 x] Cos[x]^(-1),x},
1467 {Cos[3 x] Cos[x]^(-2),x},
1468 {Cos[3 x] Cos[x]^(-3),x},
1470  {Sin[x]^m Sin[(2 n+1) x]^(-1),x},   (* ******** Return GENERICALLY ******** *)
1471  {Sin[x]^(2m) Sin[2 n x]^(-1),x},    (* ******** Return GENERICALLY ******** *)
1472  {Sin[x]^(2m+1) Sin[2 n x]^(-1),x},  (* ******** Return GENERICALLY ******** *)
1473  {Sin[x]^(2m) Cos[(2 n+1) x]^(-1),x},(* ******** Return GENERICALLY ******** *)
1474  {Sin[x]^(2m+1) Cos[(2 n+1) x]^(-1),x},(* ****** Return GENERICALLY ******** *)
1475  {Sin[x]^m Cos[2 n x]^(-1),x},       (* ******** Return GENERICALLY ******** *)
1476  {Cos[x]^(2m+1) Sin[(2 n+1) x]^(-1),x},(* ****** Return GENERICALLY ******** *)
1477  {Cos[x]^(2m) Sin[(2 n+1) x]^(-1),x},(* ******** Return GENERICALLY ******** *)
1478  {Cos[x]^(2m+1) Sin[2 n x]^(-1),x},  (* ******** Return GENERICALLY ******** *)
1479  {Cos[x]^(2m) Sin[2 n x]^(-1),x},    (* ******** Return GENERICALLY ******** *)
1480  {Cos[x]^m Sin[n x]^(-1),x},         (* ******** Return GENERICALLY ******** *)
1482 {Sin[x^2],x},
1483 {Cos[x^2],x},
1484 {Sin[a x^2+2 b x+c],x},
1485 {Cos[a x^2+2 b x+c],x},
1486 {Sin[Log[x]],x},
1487 {Cos[Log[x]],x},
1489 {(A+B Sin[x]) (a+b Sin[x])^(-n),x}, (* GEN *)
1490 {(A+B Sin[x]) (a+b Sin[x])^(-1),x},
1491 {(a+b Sin[x])^(-1),x},
1493 {(A+B Cos[x]) (a+b Sin[x])^(-n),x}, (* GEN *)
1494 {(A+B Cos[x]) (a+b Sin[x])^(-1),x},     (* Ret2.2 *)                            {(a+b Sin[x])^(-n),…
1496 {(A+B Sin[x]) (a+b Cos[x])^(-n),x}, (* GEN *)
1497 {(A+B Sin[x]) (a+b Cos[x])^(-1),x},     (* Ret2.2 *)
1498 {(a+b Cos[x])^(-1),x},
1500 {(A+B Cos[x]) (a+b Cos[x])^(-n),x}, (* GEN *)
1501 {(A+B Cos[x]) (a+b Cos[x])^(-1),x},
1502 {(a+b Cos[x])^(-n),x},              (* GEN *)
1505 {(A+B Sin[x]) (1+Sin[x])^(-n),x},          (* Ret2.2 *)
1506 {(A+B Sin[x]) (1-Sin[x])^(-n),x},          (* Ret2.2 *)
1507 {(A+B Cos[x]) (1+Cos[x])^(-n),x},          (* Ret2.2 *)
1508 {(A+B Cos[x]) (1-Cos[x])^(-n),x},          (* Ret2.2 *)
1509 {(A+B Sin[x]) (1+Sin[x])^(-1),x},
1510 {(A+B Sin[x]) (1-Sin[x])^(-1),x},
1511 {(A+B Cos[x]) (1+Cos[x])^(-1),x},
1512 {(A+B Cos[x]) (1-Cos[x])^(-1),x},
1514 {(1-2 a Cos[x]+a^2)^(-1),x},
1515 {(1-a Cos[x]) (1-2 a Cos[x]+a^2)^(-1),x},
1517 {(a Cos[x]+b Sin[x])^(-n),x},           (* Ret2.2 *)                                               …
1518 {Sin[x] (a Sin[x]+b Cos[x])^(-1),x},
1519 {Cos[x] (a Cos[x]+b Sin[x])^(-1),x},
1520 {(a Cos[x]+b Sin[x])^(-1),x},
1521 {(a Cos[x]+b Sin[x])^(-2),x},
1523 {(A+B Cos[x]+C Sin[x]) (a+b Cos[x]+c Sin[x])^(-n),x},  (* GEN *)
1524 {(A+B Cos[x]+C Sin[x]) (a+b Cos[x]+c Sin[x])^(-1),x},  (* hangs 2.2 *)
1525 {(a+b Cos[x]+c Sin[x])^(-n),x},     (* GEN *)
1526 {(a+b Cos[x]+c Sin[x])^(-1),x},
1528 {(a+a Cos[x]+c Sin[x])^(-1),x},
1529 {(a (1+Cos[x])+c Sin[x])^(-2),x},
1530 {(a1+b1 Cos[x]+c1 Sin[x])^(-1)(a+b Cos[x]+c Sin[x])^(-1),x}, (* hangs 2.2 *)
1532 {(A Cos[x]^2+2 B Sin[x] Cos[x]+C Sin[x]^2) (a Cos[x]^2+2 b Sin[x] Cos[x]+
1533   c Sin[x]^2)^(-1),x},                  (* hangs 2.2 *)         (* hangs FS *)
1536 {(A+B Sin[x]) Sin[x]^(-1) (a+b Sin[x])^(-1),x},
1537 {(A+B Sin[x]) Sin[x]^(-1) (a+b Cos[x])^(-1),x},  (* Ret2.2 *)
1538 {(A+B Sin[x]) Sin[x]^(-1) (1+Cos[x])^(-1),x},
1539 {(A+B Sin[x]) Sin[x]^(-1) (1-Cos[x])^(-1),x},
1540 {(A+B Sin[x]) Cos[x]^(-1) (a+b Sin[x])^(-1),x},
1541 {(A+B Sin[x]) Cos[x]^(-1) (1+Sin[x])^(-1),x},
1542 {(A+B Sin[x]) Cos[x]^(-1) (1-Sin[x])^(-1),x},
1543 {(A+B Sin[x]) Cos[x]^(-1) (a+b Cos[x])^(-1),x},  (* Ret2.2 *)
1544 {(A+B Cos[x]) Sin[x]^(-1) (a+b Sin[x])^(-1),x},
1545 {(A+B Cos[x]) Sin[x]^(-1) (a+b Cos[x])^(-1),x},
1546 {(A+B Cos[x]) Sin[x]^(-1) (1+Cos[x])^(-1),x},
1547 {(A+B Cos[x]) Sin[x]^(-1) (1-Cos[x])^(-1),x},
1548 {(A+B Cos[x]) Cos[x]^(-1) (a+b Sin[x])^(-1),x},
1549 {(A+B Sin[x]) Cos[x]^(-1) (1+Sin[x])^(-1),x},
1550 {(A+B Sin[x]) Cos[x]^(-1) (1-Sin[x])^(-1),x},
1551 {(A+B Cos[x]) Cos[x]^(-1) (a+b Cos[x])^(-1),x},
1553 {(a+b Sin[x]^2)^(-1),x},
1554 {(a+b Cos[x]^2)^(-1),x},
1555 {(1+Sin[x]^2)^(-1),x},
1556 {(1-Sin[x]^2)^(-1),x},
1557 {(1+Cos[x]^2)^(-1),x},
1558 {(1-Cos[x]^2)^(-1),x},
1560 {(a+b Sin[x]^2)^(-2),x},
1561 {(a+b Cos[x]^2)^(-2),x},
1562 {(a+b Sin[x]^2)^(-3),x},
1563 {(a+b Cos[x]^2)^(-3),x},
1565 {Tan[x] (1+m^2 Tan[x]^2)^(-1),x},
1566 {(Tan[a]-Tan[x]) (Tan[a]+Tan[x])^(-1),x},
1567 {Tan[x] (a+b Tan[x])^(-1),x},
1568 {(a+b Tan[x]^2)^(-1),x},
1570 {(a+b Sin[x])^(-1/2),x},
1571 {Sin[x] (a+b Sin[x])^(-1/2),x},
1572 {Sin[x]^2 (a+b Sin[x])^(-1/2),x},
1573 {(a+b Cos[x])^(-1/2),x},
1574 {(a-b Cos[x])^(-1/2),x},
1575 {Cos[x] (a+b Cos[x])^(-1/2),x},
1576 {Cos[x] (a-b Cos[x])^(-1/2),x},
1577 {Cos[x]^2 (a+b Cos[x])^(-1/2),x},
1578 {Cos[x]^2 (a-b Cos[x])^(-1/2),x},
1580 {Tan[x]^2 (a+b Sin[x])^(-1/2),x},
1582 {(1-Sin[x])/(1+Sin[x]) (a+b Sin[x])^(-1/2),x},
1583 {(1-Cos[x])/(1+Cos[x]) (a+b Cos[x])^(-1/2),x},
1585 {(2-p^2+p^2 Sin[x])^(-1) (a+b Sin[x])^(-1/2),x},
1586 {(a+b-p^2 b+p^2 b Sin[x])^(-1) (a+b Sin[x])^(-1/2),x},
1587 {(2-p^2+p^2 Cos[x])^(-1) (a+b Cos[x])^(-1/2),x},
1588 {(a+b-p^2 b+p^2 b Cos[x])^(-1) (a+b Cos[x])^(-1/2),x},
1590 {(a+b Sin[x])^(-3/2),x},
1591 {((a+b Sin[x])^3)^(-1/2),x},
1592 {(a+b Sin[x])^(-5/2),x},
1593 {((a+b Sin[x])^5)^(-1/2),x},
1594 {(a+b Cos[x])^(-3/2),x},
1595 {((a+b Cos[x])^3)^(-1/2),x},
1596 {(a-b Cos[x])^(-3/2),x},
1597 {((a-b Cos[x])^3)^(-1/2),x},
1598 {(a+b Cos[x])^(-5/2),x},
1599 {((a+b Cos[x])^5)^(-1/2),x},
1601 {(a+b Cos[x])^(1/2),x},
1602 {(a-b Cos[x])^(1/2),x},
1604 {(1+p Cos[x])^(-1) (a-b Cos[x])^(1/2),x},
1605 {((a-b Cos[x])/(1+p Cos[x]))^(1/2),x},                    (* hangs FS *)                           …
1606 {(a-b Cos[x])^(1/2) (1+p Cos[x])^(-1/2),x},               (* hangs FS *)
1609 {Tan[x](a-b Tan[x]^2)^(-1/2),x},                                                                   …
1611 {(a+b Cos[x]+c Sin[x])^(-1/2),x},
1612 {(a+b Cos[x]+c Sin[x]+d Cos[x]^2+e Sin[x] Cos[x]+f Sin[x]^2)^(-1/2),x},
1616 {Sin[x]^m Cos[x]^n (1-k^2 Sin[x]^2)^(r/2),x}, (* GEN *)
1617 {Sin[x]^m Cos[x]^n (1-k^2 Sin[x]^2)^(-3/2),x},(* GEN *)
1618 {Sin[x]^m Cos[x]^n (1-k^2 Sin[x]^2)^(-5/2),x},(* GEN *)
1619 {Sin[x] Cos[x]^n (1-k^2 Sin[x]^2)^(r/2),x},     (* Ret2.2 *)
1620 {Sin[x]^m Cos[x] (1-k^2 Sin[x]^2)^(r/2),x},     (* Ret2.2 *)
1621 {Sin[x]^3 Cos[x]^n (1-k^2 Sin[x]^2)^(r/2),x},   (* Ret2.2 *)
1622 {Sin[x]^m Cos[x]^3 (1-k^2 Sin[x]^2)^(r/2),x},   (* Ret2.2 *)
1624 {(1-k^2 Sin[x]^2)^(r/2),x},                   (* GEN *)
1625 {Sin[x]^n (1-k^2 Sin[x]^2)^(-1/2),x},         (* GEN *)
1626 {Cos[x]^n (1-k^2 Sin[x]^2)^(-1/2),x},         (* GEN *)
1627 {Tan[x]^n (1-k^2 Sin[x]^2)^(-1/2),x},         (* GEN *)
1628 {Cot[x]^n (1-k^2 Sin[x]^2)^(-1/2),x},        (* GEN *)
1630 {(1-k^2 Sin[x]^2)^(1/2),x},
1631 {Sin[x] (1-k^2 Sin[x]^2)^(1/2),x},
1632 {Cos[x] (1-k^2 Sin[x]^2)^(1/2),x},
1633 {Sin[x]^2 (1-k^2 Sin[x]^2)^(1/2),x},
1634 {Sin[x] Cos[x] (1-k^2 Sin[x]^2)^(1/2),x},
1635 {Cos[x]^2 (1-k^2 Sin[x]^2)^(1/2),x},
1636 {Sin[x]^3 (1-k^2 Sin[x]^2)^(1/2),x},
1637 {Sin[x]^2 Cos[x] (1-k^2 Sin[x]^2)^(1/2),x},
1638 {Sin[x] Cos[x]^2 (1-k^2 Sin[x]^2)^(1/2),x},
1639 {Cos[x]^3 (1-k^2 Sin[x]^2)^(1/2),x},
1640 {Sin[x]^4 (1-k^2 Sin[x]^2)^(1/2),x},
1641 {Sin[x]^3 Cos[x] (1-k^2 Sin[x]^2)^(1/2),x},
1642 {Sin[x]^2 Cos[x]^2 (1-k^2 Sin[x]^2)^(1/2),x},
1643 {Sin[x] Cos[x]^3 (1-k^2 Sin[x]^2)^(1/2),x},
1644 {Cos[x]^4 (1-k^2 Sin[x]^2)^(1/2),x},
1645 {Sin[x]^5 (1-k^2 Sin[x]^2)^(1/2),x},
1646 {Sin[x]^4 Cos[x] (1-k^2 Sin[x]^2)^(1/2),x},
1647 {Sin[x]^3 Cos[x]^2 (1-k^2 Sin[x]^2)^(1/2),x},
1648 {Sin[x]^2 Cos[x]^3 (1-k^2 Sin[x]^2)^(1/2),x},
1649 {Sin[x] Cos[x]^4 (1-k^2 Sin[x]^2)^(1/2),x},
1650 {Cos[x]^5 (1-k^2 Sin[x]^2)^(1/2),x},
1651 {(1-k^2 Sin[x]^2)^(3/2),x},
1652 {Sin[x] (1-k^2 Sin[x]^2)^(3/2),x},
1653 {Cos[x] (1-k^2 Sin[x]^2)^(3/2),x},
1654 {Sin[x]^2 (1-k^2 Sin[x]^2)^(3/2),x},
1655 {Sin[x] Cos[x] (1-k^2 Sin[x]^2)^(3/2),x},
1656 {Cos[x]^2 (1-k^2 Sin[x]^2)^(3/2),x},
1657 {Sin[x]^3 (1-k^2 Sin[x]^2)^(3/2),x},
1658 {Sin[x]^2 Cos[x] (1-k^2 Sin[x]^2)^(3/2),x},
1659 {Sin[x] Cos[x]^2 (1-k^2 Sin[x]^2)^(3/2),x},
1660 {Cos[x]^3 (1-k^2 Sin[x]^2)^(3/2),x},
1661 {Sin[x]^(-1) (1-k^2 Sin[x]^2)^(1/2),x},
1662 {Cos[x]^(-1) (1-k^2 Sin[x]^2)^(1/2),x},
1663 {Sin[x]^(-2) (1-k^2 Sin[x]^2)^(1/2),x},
1664 {Sin[x]^(-1) Cos[x]^(-1) (1-k^2 Sin[x]^2)^(1/2),x},
1665 {Cos[x]^(-2) (1-k^2 Sin[x]^2)^(1/2),x},
1666 {Sin[x] Cos[x]^(-1) (1-k^2 Sin[x]^2)^(1/2),x},
1667 {Sin[x]^(-1) Cos[x] (1-k^2 Sin[x]^2)^(1/2),x},
1668 {Sin[x]^(-3) (1-k^2 Sin[x]^2)^(1/2),x},
1669 {Sin[x]^(-2) Cos[x]^(-1) (1-k^2 Sin[x]^2)^(1/2),x},
1670 {Sin[x]^(-1) Cos[x]^(-2) (1-k^2 Sin[x]^2)^(1/2),x},
1671 {Cos[x]^(-3) (1-k^2 Sin[x]^2)^(1/2),x},
1672 {Sin[x] Cos[x]^(-2) (1-k^2 Sin[x]^2)^(1/2),x},
1673 {Sin[x]^(-2) Cos[x] (1-k^2 Sin[x]^2)^(1/2),x},
1674 {Sin[x]^2 Cos[x]^(-1) (1-k^2 Sin[x]^2)^(1/2),x},
1675 {Sin[x]^(-1) Cos[x]^2 (1-k^2 Sin[x]^2)^(1/2),x},
1676 {Sin[x]^(-4) (1-k^2 Sin[x]^2)^(1/2),x},
1677 {Sin[x]^(-3) Cos[x]^(-1) (1-k^2 Sin[x]^2)^(1/2),x},
1678 {Sin[x]^(-2) Cos[x]^(-2) (1-k^2 Sin[x]^2)^(1/2),x},
1679 {Sin[x]^(-1) Cos[x]^(-3) (1-k^2 Sin[x]^2)^(1/2),x},
1680 {Cos[x]^(-4) (1-k^2 Sin[x]^2)^(1/2),x},
1681 {Sin[x] Cos[x]^(-3) (1-k^2 Sin[x]^2)^(1/2),x},
1682 {Sin[x]^(-3) Cos[x] (1-k^2 Sin[x]^2)^(1/2),x},
1683 {Sin[x]^2 Cos[x]^(-2) (1-k^2 Sin[x]^2)^(1/2),x},
1684 {Sin[x]^(-2) Cos[x]^2 (1-k^2 Sin[x]^2)^(1/2),x},
1686 {Sin[x]^3 Cos[x]^(-1) (1-k^2 Sin[x]^2)^(1/2),x},                (* hangs FS *)
1687 {Sin[x]^(-1) Cos[x]^3 (1-k^2 Sin[x]^2)^(1/2),x},                (* hangs FS *)
1689 {Sin[x]^(-5) (1-k^2 Sin[x]^2)^(1/2),x},
1690 {Sin[x]^(-4) Cos[x]^(-1) (1-k^2 Sin[x]^2)^(1/2),x},
1691 {Sin[x]^(-3) Cos[x]^(-2) (1-k^2 Sin[x]^2)^(1/2),x},
1692 {Sin[x]^(-2) Cos[x]^(-3) (1-k^2 Sin[x]^2)^(1/2),x},
1693 {Sin[x]^(-1) Cos[x]^(-4) (1-k^2 Sin[x]^2)^(1/2),x},
1694 {Cos[x]^(-5) (1-k^2 Sin[x]^2)^(1/2),x},
1695 {Sin[x] Cos[x]^(-4) (1-k^2 Sin[x]^2)^(1/2),x},
1696 {Sin[x]^(-4) Cos[x] (1-k^2 Sin[x]^2)^(1/2),x},
1697 {Sin[x]^2 Cos[x]^(-3) (1-k^2 Sin[x]^2)^(1/2),x},
1698 {Sin[x]^(-3) Cos[x]^2 (1-k^2 Sin[x]^2)^(1/2),x},
1699 {Sin[x]^3 Cos[x]^(-2) (1-k^2 Sin[x]^2)^(1/2),x},
1700 {Sin[x]^(-2) Cos[x]^3 (1-k^2 Sin[x]^2)^(1/2),x},
1701 {Sin[x]^4 Cos[x]^(-1) (1-k^2 Sin[x]^2)^(1/2),x},
1702 {Sin[x]^(-1) Cos[x]^4 (1-k^2 Sin[x]^2)^(1/2),x},
1704 {(1-k^2 Sin[x]^2)^(-1/2),x},
1705 {Sin[x] (1-k^2 Sin[x]^2)^(-1/2),x},
1706 {Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
1707 {Sin[x]^2 (1-k^2 Sin[x]^2)^(-1/2),x},
1708 {Sin[x] Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
1709 {Cos[x]^2 (1-k^2 Sin[x]^2)^(-1/2),x},
1710 {Sin[x]^3 (1-k^2 Sin[x]^2)^(-1/2),x},
1711 {Sin[x]^2 Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
1712 {Sin[x] Cos[x]^2 (1-k^2 Sin[x]^2)^(-1/2),x},
1713 {Cos[x]^3 (1-k^2 Sin[x]^2)^(-1/2),x},
1714 {Sin[x]^4 (1-k^2 Sin[x]^2)^(-1/2),x},
1715 {Sin[x]^3 Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
1716 {Sin[x]^2 Cos[x]^2 (1-k^2 Sin[x]^2)^(-1/2),x},
1717 {Sin[x] Cos[x]^3 (1-k^2 Sin[x]^2)^(-1/2),x},
1718 {Cos[x]^4 (1-k^2 Sin[x]^2)^(-1/2),x},
1719 {Sin[x]^5 (1-k^2 Sin[x]^2)^(-1/2),x},
1720 {Sin[x]^4 Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
1721 {Sin[x]^3 Cos[x]^2 (1-k^2 Sin[x]^2)^(-1/2),x},
1722 {Sin[x]^2 Cos[x]^3 (1-k^2 Sin[x]^2)^(-1/2),x},
1723 {Sin[x] Cos[x]^4 (1-k^2 Sin[x]^2)^(-1/2),x},
1724 {Cos[x]^5 (1-k^2 Sin[x]^2)^(-1/2),x},
1725 {Sin[x]^6 (1-k^2 Sin[x]^2)^(-1/2),x},
1726 {Sin[x]^5 Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
1727 {Sin[x]^4 Cos[x]^2 (1-k^2 Sin[x]^2)^(-1/2),x},
1728 {Sin[x]^3 Cos[x]^3 (1-k^2 Sin[x]^2)^(-1/2),x},
1729 {Sin[x]^2 Cos[x]^4 (1-k^2 Sin[x]^2)^(-1/2),x},
1730 {Sin[x] Cos[x]^5 (1-k^2 Sin[x]^2)^(-1/2),x},
1731 {Cos[x]^6 (1-k^2 Sin[x]^2)^(-1/2),x},
1732 {Sin[x]^7 (1-k^2 Sin[x]^2)^(-1/2),x},
1733 {Sin[x]^6 Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
1734 {Sin[x]^5 Cos[x]^2 (1-k^2 Sin[x]^2)^(-1/2),x},
1735 {Sin[x]^4 Cos[x]^3 (1-k^2 Sin[x]^2)^(-1/2),x},
1736 {Sin[x]^3 Cos[x]^4 (1-k^2 Sin[x]^2)^(-1/2),x},
1737 {Sin[x]^2 Cos[x]^5 (1-k^2 Sin[x]^2)^(-1/2),x},
1738 {Sin[x] Cos[x]^6 (1-k^2 Sin[x]^2)^(-1/2),x},
1739 {Cos[x]^7 (1-k^2 Sin[x]^2)^(-1/2),x},
1740 {(1-k^2 Sin[x]^2)^(-3/2),x},
1741 {Sin[x] (1-k^2 Sin[x]^2)^(-3/2),x},
1742 {Cos[x] (1-k^2 Sin[x]^2)^(-3/2),x},
1743 {Sin[x]^2 (1-k^2 Sin[x]^2)^(-3/2),x},
1744 {Sin[x] Cos[x] (1-k^2 Sin[x]^2)^(-3/2),x},
1745 {Cos[x]^2 (1-k^2 Sin[x]^2)^(-3/2),x},
1746 {Sin[x]^3 (1-k^2 Sin[x]^2)^(-3/2),x},
1747 {Sin[x]^2 Cos[x] (1-k^2 Sin[x]^2)^(-3/2),x},
1748 {Sin[x] Cos[x]^2 (1-k^2 Sin[x]^2)^(-3/2),x},
1749 {Cos[x]^3 (1-k^2 Sin[x]^2)^(-3/2),x},
1750 {Sin[x]^4 (1-k^2 Sin[x]^2)^(-3/2),x},
1751 {Sin[x]^3 Cos[x] (1-k^2 Sin[x]^2)^(-3/2),x},
1752 {Sin[x]^2 Cos[x]^2 (1-k^2 Sin[x]^2)^(-3/2),x},
1753 {Sin[x] Cos[x]^3 (1-k^2 Sin[x]^2)^(-3/2),x},
1754 {Cos[x]^4 (1-k^2 Sin[x]^2)^(-3/2),x},
1755 {Sin[x]^5 (1-k^2 Sin[x]^2)^(-3/2),x},
1756 {Sin[x]^4 Cos[x] (1-k^2 Sin[x]^2)^(-3/2),x},
1757 {Sin[x]^3 Cos[x]^2 (1-k^2 Sin[x]^2)^(-3/2),x},
1758 {Sin[x]^2 Cos[x]^3 (1-k^2 Sin[x]^2)^(-3/2),x},
1759 {Sin[x] Cos[x]^4 (1-k^2 Sin[x]^2)^(-3/2),x},
1760 {Cos[x]^5 (1-k^2 Sin[x]^2)^(-3/2),x},
1761 {(1-k^2 Sin[x]^2)^(-5/2),x},
1762 {Sin[x] (1-k^2 Sin[x]^2)^(-5/2),x},
1763 {Cos[x] (1-k^2 Sin[x]^2)^(-5/2),x},
1764 {Sin[x]^2 (1-k^2 Sin[x]^2)^(-5/2),x},
1765 {Sin[x] Cos[x] (1-k^2 Sin[x]^2)^(-5/2),x},
1766 {Cos[x]^2 (1-k^2 Sin[x]^2)^(-5/2),x},
1767 {Sin[x]^3 (1-k^2 Sin[x]^2)^(-5/2),x},
1768 {Sin[x]^2 Cos[x] (1-k^2 Sin[x]^2)^(-5/2),x},
1769 {Sin[x] Cos[x]^2 (1-k^2 Sin[x]^2)^(-5/2),x},
1770 {Cos[x]^3 (1-k^2 Sin[x]^2)^(-5/2),x},
1771 {Sin[x]^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1772 {Cos[x]^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1773 {Sin[x]^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1774 {Sin[x]^(-1) Cos[x]^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1775 {Cos[x]^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1776 {Sin[x] Cos[x]^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1777 {Sin[x]^(-1) Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
1778 {Sin[x]^(-3) (1-k^2 Sin[x]^2)^(-1/2),x},
1779 {Sin[x]^(-2) Cos[x]^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1780 {Sin[x]^(-1) Cos[x]^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1781 {Cos[x]^(-3) (1-k^2 Sin[x]^2)^(-1/2),x},
1782 {Sin[x] Cos[x]^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1783 {Sin[x]^(-2) Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
1784 {Sin[x]^2 Cos[x]^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1785 {Sin[x]^(-1) Cos[x]^2 (1-k^2 Sin[x]^2)^(-1/2),x},
1786 {Sin[x]^(-4) (1-k^2 Sin[x]^2)^(-1/2),x},
1787 {Sin[x]^(-3) Cos[x]^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1788 {Sin[x]^(-2) Cos[x]^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1789 {Sin[x]^(-1) Cos[x]^(-3) (1-k^2 Sin[x]^2)^(-1/2),x},
1790 {Cos[x]^(-4) (1-k^2 Sin[x]^2)^(-1/2),x},
1791 {Sin[x] Cos[x]^(-3) (1-k^2 Sin[x]^2)^(-1/2),x},
1792 {Sin[x]^(-3) Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
1793 {Sin[x]^2 Cos[x]^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1794 {Sin[x]^(-2) Cos[x]^2 (1-k^2 Sin[x]^2)^(-1/2),x},
1795 {Sin[x]^3 Cos[x]^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},         (* hangs FS *)
1796 {Sin[x]^(-1) Cos[x]^3 (1-k^2 Sin[x]^2)^(-1/2),x},         (* hangs FS *)
1798 {Sin[x]^(-5) (1-k^2 Sin[x]^2)^(-1/2),x},
1799 {Sin[x]^(-4) Cos[x]^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1800 {Sin[x]^(-3) Cos[x]^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1801 {Sin[x]^(-2) Cos[x]^(-3) (1-k^2 Sin[x]^2)^(-1/2),x},
1802 {Sin[x]^(-1) Cos[x]^(-4) (1-k^2 Sin[x]^2)^(-1/2),x},
1803 {Cos[x]^(-5) (1-k^2 Sin[x]^2)^(-1/2),x},
1804 {Sin[x] Cos[x]^(-4) (1-k^2 Sin[x]^2)^(-1/2),x},
1805 {Sin[x]^(-4) Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
1806 {Sin[x]^2 Cos[x]^(-3) (1-k^2 Sin[x]^2)^(-1/2),x},
1807 {Sin[x]^(-3) Cos[x]^2 (1-k^2 Sin[x]^2)^(-1/2),x},
1808 {Sin[x]^3 Cos[x]^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1809 {Sin[x]^(-2) Cos[x]^3 (1-k^2 Sin[x]^2)^(-1/2),x},
1810 {Sin[x]^4 Cos[x]^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1811 {Sin[x]^(-1) Cos[x]^4 (1-k^2 Sin[x]^2)^(-1/2),x},
1813 …{(a+Sin[x])^(p+3) (1-k^2 Sin[x]^2)^(-1/2),x}, (* *** Return GENERICALLY *** *) {(a+Sin[x]) (1-k^2 …
1814 {(a+Sin[x])^2 (1-k^2 Sin[x]^2)^(-1/2),x},                  (* hangs FS *)
1815 {(a+Sin[x])^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},               (* hangs FS *)
1816 {Sin[x] (a^2-Sin[x]^2)^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},    (* hangs FS *)
1818  {(a+Sin[x])^(-n) (1-k^2 Sin[x]^2)^(-1/2),x},  (* *** Return GENERICALLY *** *)
1819 {(a+Sin[x])^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},               (* hangs FS *)
1820 {(a+Sin[x])^(-3) (1-k^2 Sin[x]^2)^(-1/2),x},               (* hangs FS *)
1823  {(1+Sin[x])^(-n) (1-k^2 Sin[x]^2)^(-1/2),x},  (* *** Return GENERICALLY *** *)
1824  {(1-Sin[x])^(-n) (1-k^2 Sin[x]^2)^(-1/2),x},  (* *** Return GENERICALLY *** *)
1826 {(1+Sin[x])^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1827 {(1-Sin[x])^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1828 {(1+Sin[x])^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1829 {(1-Sin[x])^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1830  {(1+k Sin[x])^(-n) (1-k^2 Sin[x]^2)^(-1/2),x},(* *** Return GENERICALLY *** *)
1831  {(1-k Sin[x])^(-n) (1-k^2 Sin[x]^2)^(-1/2),x},(* *** Return GENERICALLY *** *)
1832 {(1+k Sin[x])^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1833 {(1-k Sin[x])^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1834 {(1+k Sin[x])^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},   (* Nume 2.2 *)
1835 {(1-k Sin[x])^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},   (* Nume 2.2 *)
1837  {(b+Cos[x])^(p+3) (1-k^2 Sin[x]^2)^(-1/2),x}, (* *** Return GENERICALLY *** *)
1838 {(b+Cos[x]) (1-k^2 Sin[x]^2)^(-1/2),x},
1839 {(b+Cos[x])^2 (1-k^2 Sin[x]^2)^(-1/2),x},
1840 {(b+Cos[x])^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1841 {Cos[x] (1-b^2-Sin[x]^2)^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1843  {(b+Cos[x])^(-n) (1-k^2 Sin[x]^2)^(-1/2),x},  (* *** Return GENERICALLY *** *)
1844 {(b+Cos[x])^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1845 {(b+Cos[x])^(-3) (1-k^2 Sin[x]^2)^(-1/2),x},
1847  {(c+Tan[x])^(p+3) (1-k^2 Sin[x]^2)^(-1/2),x}, (* *** Return GENERICALLY *** *)
1848 {(c+Tan[x]) (1-k^2 Sin[x]^2)^(-1/2),x},
1849 {(c+Tan[x])^2 (1-k^2 Sin[x]^2)^(-1/2),x},
1850 {(c+Tan[x])^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1851 {Sin[x] Cos[x] (c^2-(1+c^2) Sin[x]^2)^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1853  {(c+Tan[x])^(-n) (1-k^2 Sin[x]^2)^(-1/2),x},  (* *** Return GENERICALLY *** *)
1854 {(c+Tan[x])^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},     (* Ret2.2 *)
1855 {(c+Tan[x])^(-3) (1-k^2 Sin[x]^2)^(-1/2),x},
1857  {(a+Sin[x]^2)^n (1-k^2 Sin[x]^2)^(-1/2),x},   (* *** Return GENERICALLY *** *)
1858 {(a+Sin[x]^2)^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1859 {Sin[x]^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1860  {(h+g Sin[x]^2)^(-n) (1-k^2 Sin[x]^2)^(-1/2),x},(* ** Return GENERICALLY ** *)
1862  {(b+Cos[x]^2)^n (1-k^2 Sin[x]^2)^(-1/2),x},   (* *** Return GENERICALLY *** *)
1863 {(b+Cos[x]^2)^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1864 {Cos[x]^(-2) (1-k^2 Sin[x]^2)^(-1/2),x},
1866  {(c+Tan[x]^2)^n (1-k^2 Sin[x]^2)^(-1/2),x},   (* *** Return GENERICALLY *** *)
1867 {(c+Tan[x]^2)^(-1) (1-k^2 Sin[x]^2)^(-1/2),x},
1869 {(1-p^2 Sin[x]^2)^(-1/2),x},
1870 {(1-p^2 Sin[x]^2)^(1/2),x},
1871 {(1-r^2 Sin[x]^2)^(-1) (1-p^2 Sin[x]^2)^(-1/2),x},
1873 {Cos[x]^4 (1-p^2 Sin[x]^2)^(-1/2),x},
1874 {Cos[x]^(-2) (1-p^2 Sin[x]^2)^(1/2),x},
1875 {(1-p^2 Sin[x]^2)^(-3/2),x},
1876 {((1-p^2 Sin[x]^2)^3)^(-1/2),x},
1878 {(1+p^2 Sin[x]^2)^(-1/2),x},
1879 {(1+p^2 Sin[x]^2)^(1/2),x},
1880 {(1+(p^2 -r^2 p^2 -r^2) Sin[x]^2)^(-1)(1+p^2 Sin[x]^2)^(1/2),x},
1881 {Sin[x] (1+p^2 Sin[x]^2)^(-1/2),x},
1882 {Cos[x] (1+p^2 Sin[x]^2)^(-1/2),x},
1883 {Sin[x]^(-1) (1+p^2 Sin[x]^2)^(-1/2),x},
1884 {Cos[x]^(-1) (1+p^2 Sin[x]^2)^(-1/2),x},
1885 {Tan[x] (1+p^2 Sin[x]^2)^(-1/2),x},
1886 {Cot[x] (1+p^2 Sin[x]^2)^(-1/2),x},
1888 {Tan[x]^2 (1+p^2 Sin[x]^2)^(-1/2),x},
1889 {(1+p^2 Sin[x]^2)^(-3/2),x},
1890 {((1+p^2 Sin[x]^2)^3)^(-1/2),x},
1892 {(-1+a^2 Sin[x]^2)^(-1/2),x},
1893 {(-1+a^2 Sin[x]^2)^(1/2),x},
1894 {(1-r^2 Sin[x]^2)^(-1) (-1+a^2 Sin[x]^2)^(-1/2),x},
1895 {Sin[x] (-1+a^2 Sin[x]^2)^(-1/2),x},
1896 {Cos[x] (-1+a^2 Sin[x]^2)^(-1/2),x},
1897 {Sin[x]^(-1) (-1+a^2 Sin[x]^2)^(-1/2),x},
1898 {Cos[x]^(-1) (-1+a^2 Sin[x]^2)^(-1/2),x},
1899 {Tan[x] (-1+a^2 Sin[x]^2)^(-1/2),x},
1900 {Cot[x] (-1+a^2 Sin[x]^2)^(-1/2),x},
1902 {Sin[x]^2 (-1+a^2 Sin[x]^2)^(-1/2),x},
1903 {(-1+a^2 Sin[x]^2)^(-5/2),x},
1904 {((-1+a^2 Sin[x]^2)^5)^(-1/2),x},
1905 {Sin[x]^(-1) Cos[x]^(-1) (-1+a^2 Sin[x]^2)^(-1/2),x},
1907 {(1-k^2 Cos[x]^2)^(-1/2),x},
1908 {(1-k^2 Cos[x]^2)^(1/2),x},
1910 {(1+p^2 Cos[x]^2)^(-1/2),x},
1911 {(1+p^2 Cos[x]^2)^(1/2),x},
1913 {(-1+a^2 Cos[x]^2)^(-1/2),x},
1914 {(-1+a^2 Cos[x]^2)^(1/2),x},
1916 {((1-p^2 Sin[x]^2)(1-q^2 Sin[x]^2))^(-1/2),x},
1917 {Tan[x]^2 ((1-p^2 Sin[x]^2)(1-q^2 Sin[x]^2))^(-1/2),x},     (* Ret2.2 *)                           …
1918 {Tan[x]^4 ((1-p^2 Sin[x]^2)(1-q^2 Sin[x]^2))^(-1/2),x},     (* Ret2.2 *)
1919 {Sin[x]^2 ((1-p^2 Sin[x]^2)(1-q^2 Sin[x]^2)^3)^(-1/2),x},   (* Ret2.2 *)
1920 {Cos[x]^2 ((1-p^2 Sin[x]^2)^3(1-q^2 Sin[x]^2))^(-1/2),x},   (* Ret2.2 *)
1921 {Cos[x]^4 ((1-p^2 Sin[x]^2)^5(1-q^2 Sin[x]^2))^(-1/2),x},   (* Ret2.2 *)
1922 {(1-p^2 Sin[x]^2)^(-1) ((1-q^2 Sin[x]^2)/(1-p^2 Sin[x]^2))^(1/2),x},
1924 {((1-p^2 Sin[x]^2)/(1-q^2 Sin[x]^2)^3)^(1/2),x},
1925 {(1+(p^2 r^2-p^2-r^2) Sin[x]^2)^(-1) ((1-p^2 Sin[x]^2)/(1-
1926   q^2 Sin[x]^2))^(1/2),x},                          (* Ret2.2 *)
1928 {(a+b Sin[x]+c Cos[x])^(-1/2),x},
1929 {Sin[x] (a+b Sin[x]+c Cos[x])^(-1/2),x},
1930 {(b Cos[x]-c Sin[x]) (a+b Sin[x]+c Cos[x])^(-1/2),x},
1931 {(Sqrt[b^2+c^2]+b Sin[x]+c Cos[x]) (a+b Sin[x]+c Cos[x])^(-1/2),x},                                …
1932 {(a+b Sin[x]+c Cos[x])^(1/2),x},
1934 {Cos[2 a x]^(-1/2),x},
1935 {Cos[a x]^2 Cos[2 a x]^(-1/2),x},
1936 {Cos[a x]^(-2) Cos[2 a x]^(-1/2),x},
1937 {Cos[a x]^(-4) Cos[2 a x]^(-1/2),x},
1938 {Tan[a x]^2 Cos[2 a x]^(-1/2),x},
1939 {Tan[a x]^4 Cos[2 a x]^(-1/2),x},
1940 {(1-2 r^2 Sin[a x]^2)^(-1) Cos[2 a x]^(-1/2),x},
1941 {Cos[2 a x]^(-3/2),x},
1942 {(Cos[2 a x]^3)^(-1/2),x},
1943 {Sin[a x]^2 Cos[2 a x]^(-3/2),x},
1944 {Cos[2 a x]^(-5/2),x},
1945 {(Cos[2 a x]^5)^(-1/2),x},
1946 {Cos[2 a x]^(1/2),x},
1947 {Cos[a x]^(-2) Cos[2 a x]^(1/2),x},
1949 {(-Cos[2 a x])^(-1/2),x},
1950 {Cos[a x]^2 (-Cos[2 a x])^(-1/2),x},
1951 {Cos[a x]^4 (-Cos[2 a x])^(-1/2),x},
1952 {Sin[a x]^(-2) (-Cos[2 a x])^(-1/2),x},
1953 {Sin[a x]^(-4) (-Cos[2 a x])^(-1/2),x},
1954 {Cot[a x]^2 (-Cos[2 a x])^(-1/2),x},
1955 {(1-2 r^2 Cos[a x]^2)^(-1) (-Cos[2 a x])^(-1/2),x},
1956 {(-Cos[2 a x]^3)^(-1/2),x},
1957 {Cos[a x]^2 (-Cos[2 a x]^3)^(-1/2),x},
1958 {(-Cos[2 a x]^5)^(-1/2),x},
1959 {(-Cos[2 a x])^(1/2),x},
1961 {Sin[2 a x]^(-1/2),x},
1962 {Sin[a x] Sin[2 a x]^(-1/2),x},
1963 {Sin[a x] (1+Sin[a x]+Cos[a x])^(-1) Sin[2 a x]^(-1/2),x},
1964 {Sin[a x] (1-Sin[a x]+Cos[a x])^(-1) Sin[2 a x]^(-1/2),x},
1965 {(1+Cos[a x]) (1+Sin[a x]+Cos[a x])^(-1) Sin[2 a x]^(-1/2),x},
1966 {(1+Cos[a x]) (1-Sin[a x]+Cos[a x])^(-1) Sin[2 a x]^(-1/2),x},
1967 {(1-Sin[a x]+Cos[a x]) (1+Sin[a x]+Cos[a x])^(-1) Sin[2 a x]^(-1/2),x},                            …
1968 {(1+Sin[a x]+Cos[a x]) (1+Cos[a x]+(1-2 r^2) Sin[a x])^(-1) *
1969 …Sin[2 a x]^(-1/2),x},                 (* Ret2.2 *)                                                …
1971  {x^r Sin[x]^p Cos[x]^q,x},        (* ********* Return GENERICALLY ********* *)
1972  {x^m Sin[x]^n,x},                 (* ********* Return GENERICALLY ********* *)
1973  {x^m Cos[x]^n,x},                 (* ********* Return GENERICALLY ********* *)
1975 {x^(m-1) Sin[b x],x},                   (* Ret2.2 *)
1976 {x^(m-1) Cos[b x],x},                   (* Ret2.2 *)
1978 {x^n Sin[a x],x},                       (* Ret2.2 *)
1979 {x^n Cos[a x],x},                       (* Ret2.2 *)
1981 {(a+b x) Sin[k x],x},
1982 {(a+b x) Cos[k x],x},
1983 {(a+b x)^2 Sin[k x],x},
1984 {(a+b x)^2 Cos[k x],x},
1985 {(a+b x)^3 Sin[k x],x},
1986 {(a+b x)^3 Cos[k x],x},
1987 {(a+b x)^4 Sin[k x],x},
1988 {(a+b x)^4 Cos[k x],x},
1989 {(a+b x)^5 Sin[k x],x},
1990 {(a+b x)^5 Cos[k x],x},
1991 {(a+b x)^6 Sin[k x],x},
1992 {(a+b x)^6 Cos[k x],x},
1994 {x^n Sin[x]^2,x},                       (* Ret2.2 *)
1995 {x^n Cos[x]^2,x},                       (* Ret2.2 *)                                               …
1996 {x Sin[x]^2,x},
1997 {x^2 Sin[x]^2,x},
1998 {x Cos[x]^2,x},
1999 {x^2 Cos[x]^2,x},
2001 {x^n Sin[x]^3,x},                       (* Ret2.2 *)
2002 {x^n Cos[x]^3,x},                       (* Ret2.2 *)
2003 {x Sin[x]^3,x},
2004 {x^2 Sin[x]^3,x},
2005 {x Cos[x]^3,x},
2006 {x^2 Cos[x]^3,x},
2008  {x^(-p) Sin[x]^q,x},              (* ********* Return GENERICALLY ********* *)
2009  {x^(-p) Cos[x]^q,x},              (* ********* Return GENERICALLY ********* *)
2010 {x^(-p) Sin[x],x},                      (* Ret2.2 *)
2011 {x^(-p) Cos[x],x},                      (* Ret2.2 *)
2013 {x^(-2n) Sin[x],x},                     (* Ret2.2 *)
2014 {x^(-2n-1) Sin[x],x},                   (* Ret2.2 *)
2015 {x^(-2n) Cos[x],x},                     (* Ret2.2 *)
2016 {x^(-2n-1) Cos[x],x},                   (* Ret2.2 *)
2018 {(a+b x)^(-1) Sin[k x],x},
2019 {(a+b x)^(-1) Cos[k x],x},
2020 {(a+b x)^(-2) Sin[k x],x},
2021 {(a+b x)^(-2) Cos[k x],x},
2022 {(a+b x)^(-3) Sin[k x],x},
2023 {(a+b x)^(-3) Cos[k x],x},
2024 {(a+b x)^(-4) Sin[k x],x},
2025 {(a+b x)^(-4) Cos[k x],x},
2026 {(a+b x)^(-5) Sin[k x],x},
2027 {(a+b x)^(-5) Cos[k x],x},
2028 {(a+b x)^(-6) Sin[k x],x},
2029 {(a+b x)^(-6) Cos[k x],x},
2031  {x^(-1) Sin[x]^(2m),x},           (* ********* Return GENERICALLY ********* *)
2032  {x^(-1) Sin[x]^(2m+1),x},         (* ********* Return GENERICALLY ********* *)
2033  {x^(-1) Cos[x]^(2m),x},           (* ********* Return GENERICALLY ********* *)
2034  {x^(-1) Cos[x]^(2m+1),x},         (* ********* Return GENERICALLY ********* *)
2035  {x^(-2) Sin[x]^(2m),x},           (* ********* Return GENERICALLY ********* *)
2036  {x^(-2) Sin[x]^(2m+1),x},         (* ********* Return GENERICALLY ********* *)
2037  {x^(-2) Cos[x]^(2m),x},           (* ********* Return GENERICALLY ********* *)
2038  {x^(-2) Cos[x]^(2m+1),x},         (* ********* Return GENERICALLY ********* *)
2040  {x^p Sin[x]^(-q),x},              (* ********* Return GENERICALLY ********* *)
2041  {x^p Cos[x]^(-q),x},              (* ********* Return GENERICALLY ********* *)
2042  {x^n Sin[x]^(-1),x},              (* ********* Return GENERICALLY ********* *)
2043  {x^(-n) Sin[x]^(-1),x},           (* ********* Return GENERICALLY ********* *)
2044  {x^n Cos[x]^(-1),x},              (* ********* Return GENERICALLY ********* *)
2045  {x^(-n) Cos[x]^(-1),x},           (* ********* Return GENERICALLY ********* *)
2046  {x^n Sin[x]^(-2),x},              (* ********* Return GENERICALLY ********* *)
2047  {x^(-n) Sin[x]^(-2),x},           (* ********* Return GENERICALLY ********* *)
2048  {x^n Cos[x]^(-2),x},              (* ********* Return GENERICALLY ********* *)
2049  {x^(-n) Cos[x]^(-2),x},           (* ********* Return GENERICALLY ********* *)
2051 {x Sin[x]^(-2n),x},                     (* Ret2.2 *)
2052 {x Sin[x]^(-2n-1),x},                   (* Ret2.2 *)
2053 {x Cos[x]^(-2n),x},                     (* Ret2.2 *)
2054 {x Cos[x]^(-2n-1),x},                   (* Ret2.2 *)
2055 {x Sin[x]^(-1),x},                      (* Ret2.2 *)
2056 {x Cos[x]^(-1),x},                      (* Ret2.2 *)
2057 {x Sin[x]^(-2),x},
2058 {x Cos[x]^(-2),x},
2059 {x Sin[x]^(-3),x},                      (* Ret2.2 *)
2060 {x Cos[x]^(-3),x},                      (* Ret2.2 *)
2061 {x Sin[x]^(-4),x},
2062 {x Cos[x]^(-4),x},
2063 {x Sin[x]^(-5),x},                      (* Ret2.2 *)
2064 {x Cos[x]^(-5),x},                      (* Ret2.2 *)
2066  {x^p Sin[x]^(2m) Cos[x]^(-n),x},  (* ********* Return GENERICALLY ********* *)
2067  {x^p Sin[x]^(2m+1) Cos[x]^(-n),x},(* ********* Return GENERICALLY ********* *)
2068  {x^p Sin[x] Cos[x]^(-n),x},       (* ********* Return GENERICALLY ********* *)
2069  {x^p Sin[x]^(-n) Cos[x]^(2m),x},  (* ********* Return GENERICALLY ********* *)
2070  {x^p Sin[x]^(-n) Cos[x]^(2m+1),x},(* ********* Return GENERICALLY ********* *)
2071  {x^p Sin[x]^(-n) Cos[x],x},       (* ********* Return GENERICALLY ********* *)
2072 {x Sin[x]^(-2) Cos[x],x},
2073 {x Sin[x] Cos[x]^(-2),x},
2075  {x^p Tan[x],x},                   (* ********* Return GENERICALLY ********* *)
2076  {x^p Cot[x],x},                   (* ********* Return GENERICALLY ********* *)
2077 {x Tan[x]^2,x},
2078 {x Cot[x]^2,x},
2080  {x^n Cos[x] (a+b Sin[x])^(-m),x}, (* ********* Return GENERICALLY ********* *)
2081  {x^n Sin[x] (a+b Cos[x])^(-m),x}, (* ********* Return GENERICALLY ********* *)
2082 {x (1+Sin[x])^(-1),x},
2083 {x (1-Sin[x])^(-1),x},
2084 {x (1+Cos[x])^(-1),x},
2085 {x (1-Cos[x])^(-1),x},
2086 {x Cos[x] (1+Sin[x])^(-2),x},
2087 {x Cos[x] (1-Sin[x])^(-2),x},
2088 {x Sin[x] (1+Cos[x])^(-2),x},
2089 {x Sin[x] (1-Cos[x])^(-2),x},
2091 {(x+Sin[x]) (1+Cos[x])^(-1),x},
2092 {(x-Sin[x]) (1-Cos[x])^(-1),x},
2094 {x^2 ((a x-b) Sin[x]+(a+b x) Cos[x])^(-2),x},
2096 {(a+(a x+b) Tan[x])^(-2),x},
2098 {x Cos[x+t]^(-1) Cos[x-t]^(-1),x},      (* Ret2.2 *)                                               …
2100 {x^(-1/2) Sin[x],x},
2101 {x^(-1/2) Cos[x],x},
2103 {x Sin[x] Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
2104 {x Sin[x]^3 Cos[x] (1-k^2 Sin[x]^2)^(-1/2),x},
2105 {x Sin[x] Cos[x]^3 (1-k^2 Sin[x]^2)^(-1/2),x},
2106 {x Sin[x] (1-k^2 Sin[x]^2)^(-3/2),x},
2107 {x Cos[x] (1-k^2 Sin[x]^2)^(-3/2),x},
2108 {x Sin[x] Cos[x] (1-k^2 Sin[x]^2)^(-3/2),x},
2109 {x Sin[x]^3 Cos[x] (1-k^2 Sin[x]^2)^(-3/2),x},
2110 {x Sin[x] Cos[x]^3 (1-k^2 Sin[x]^2)^(-3/2),x},
2112 {x^p Sin[x^2],x},                       (* Ret2.2 *)
2113 {x^p Cos[x^2],x},                       (* Ret2.2 *)
2114 {x Sin[x^2],x},
2115 {x Cos[x^2],x},
2116 {x^2 Sin[x^2],x},
2117 {x^2 Cos[x^2],x},
2118 {x^3 Sin[x^2],x},
2119 {x^3 Cos[x^2],x},
2122 {Exp[a x] Sin[x]^p Cos[x]^q,x},   (* GEN *)
2124 {Exp[a x] Sin[b x]^n,x},                (* Ret2.2 *)
2125 {Exp[a x] Cos[b x]^n,x},                (* Ret2.2 *)
2127 {Exp[a x] Sin[b x],x},
2128 {Exp[a x] Sin[b x]^2,x},
2129 {Exp[a x] Cos[b x],x},
2130 {Exp[a x] Cos[b x]^2,x},
2132 {Exp[a x] Sin[b x] Cos[c x],x},
2133 {Exp[a x] Sin[b x]^2 Cos[c x],x},
2134 {Exp[a x] Sin[b x] Cos[c x]^2,x},
2136 {Exp[a x] Sin[b x]^(-p),x},             (* Ret2.2 *)                            {Exp[a x] Cos[b x]^…
2137 {Exp[a x] Tan[x]^p,x},            (* GEN *)
2138 {Exp[a x] Cot[x]^p,x},            (* GEN *)
2140 {Exp[a x] Tan[x],x},                    (* Ret2.2 *)
2141 {Exp[a x] Tan[x]^2,x},                  (* Ret2.2 *)
2142 {Exp[a x] Cot[x],x},                    (* Ret2.2 *)                                               …
2143 {Exp[a x] Cot[x]^2,x},                  (* Ret2.2 *)
2145 {x^p Exp[a x] Sin[b x],x},              (* Ret2.2 *)
2146 {x^p Exp[a x] Cos[b x],x},              (* Ret2.2 *)
2147 {x Exp[a x] Sin[b x],x},
2148 {x Exp[a x] Cos[b x],x},
2149 {x^2 Exp[a x] Sin[b x],x},
2150 {x^2 Exp[a x] Cos[b x],x},
2152 {Sinh[a x+b] Sin[c x+d],x},
2153 {Sinh[a x+b] Cos[c x+d],x},
2154 {Cosh[a x+b] Sin[c x+d],x},
2155 {Cosh[a x+b] Cos[c x+d],x},
2157 {Sinh[x] Sin[x],x},
2158 {Sinh[x] Cos[x],x},
2159 {Cosh[x] Sin[x],x},
2160 {Cosh[x] Cos[x],x},
2162  {Sinh[a x+b]^(2m) Sin[c x+d]^(2n),x},     (* ***** Return GENERICALLY ***** *)
2163  {Sinh[a x+b]^(2m) Sin[c x+d]^(2n-1),x},   (* ***** Return GENERICALLY ***** *)
2164  {Sinh[a x+b]^(2m-1) Sin[c x+d]^(2n),x},   (* ***** Return GENERICALLY ***** *)
2165  {Sinh[a x+b]^(2m) Sin[c x+d]^(2n-1),x},   (* ***** Return GENERICALLY ***** *)
2166  {Sinh[a x+b]^(2m-1) Sin[c x+d]^(2n),x},   (* ***** Return GENERICALLY ***** *)
2167  {Sinh[a x+b]^(2m-1) Sin[c x+d]^(2n-1),x}, (* ***** Return GENERICALLY ***** *)
2168  {Sinh[a x+b]^(2m) Cos[c x+d]^(2n),x},     (* ***** Return GENERICALLY ***** *)
2169  {Sinh[a x+b]^(2m) Cos[c x+d]^(2n-1),x},   (* ***** Return GENERICALLY ***** *)
2170  {Sinh[a x+b]^(2m-1) Cos[c x+d]^(2n),x},   (* ***** Return GENERICALLY ***** *)
2171  {Sinh[a x+b]^(2m-1) Cos[c x+d]^(2n-1),x}, (* ***** Return GENERICALLY ***** *)
2172  {Cosh[a x+b]^(2m) Sin[c x+d]^(2n),x},     (* ***** Return GENERICALLY ***** *)
2173  {Cosh[a x+b]^(2m-1) Sin[c x+d]^(2n),x},   (* ***** Return GENERICALLY ***** *)
2174  {Cosh[a x+b]^(2m) Sin[c x+d]^(2n-1),x},   (* ***** Return GENERICALLY ***** *)
2175  {Cosh[a x+b]^(2m-1) Sin[c x+d]^(2n-1),x}, (* ***** Return GENERICALLY ***** *)
2176  {Cosh[a x+b]^(2m) Cos[c x+d]^(2n),x},     (* ***** Return GENERICALLY ***** *)
2177  {Cosh[a x+b]^(2m-1) Cos[c x+d]^(2n),x},   (* ***** Return GENERICALLY ***** *)
2178  {Cosh[a x+b]^(2m) Cos[c x+d]^(2n-1),x},   (* ***** Return GENERICALLY ***** *)
2179  {Cosh[a x+b]^(2m-1) Cos[c x+d]^(2n-1),x}, (* ***** Return GENERICALLY ***** *)
2181 {Exp[a x] Sinh[b x] Sin[c x],x},
2182 {Exp[a x] Sinh[b x] Cos[c x],x},
2183 {Exp[a x] Cosh[b x] Sin[c x],x},
2184 {Exp[a x] Cosh[b x] Cos[c x],x},
2190 {Log[x]^m,x},                           (* Ret2.2 *)                                               …
2192 {x^(-1) Log[x]^m,x},
2193 {x^(-1) Log[x]^(-1),x},
2195 {x^n Log[x]^m,x},                       (* hangs 2.2 *)                                            …
2197 {x^n Log[x],x},
2198 {x^n Log[x]^2,x},
2199 {x^n Log[x]^3,x},
2201 {x^n Log[x]^(-m),x},                    (* hangs 2.2 *)                                            …
2202 {x^n Log[x]^(-1),x},
2204 {(a+b x)^m Log[x],x},                   (* Ret2.2 *)                                               …
2206 {(a+b x) Log[x],x},
2207 {(a+b x)^2 Log[x],x},
2208 {(a+b x)^3 Log[x],x},
2210 {(a+b x)^(-m) Log[x],x},                (* Ret2.2 *)
2211 {(a+b x)^(-1) Log[x],x},
2212 {(a+b x)^(-2) Log[x],x},
2213 {(a+b x)^(-3) Log[x],x},
2214 {(a+b x)^(-1/2) Log[x],x},
2216 {x^m Log[a+b x],x},                     (* Ret2.2 *)
2217 {x^(-1) Log[a+b x],x},
2219 {x^m Log[a+b x],x},                     (* Ret2.2 *)                                               …
2220 {x Log[a+b x],x},
2221 {x^2 Log[a+b x],x},
2222 {x^3 Log[a+b x],x},
2224 {x^(2n) Log[x^2+a^2],x},                (* Ret2.2 *)                                               …
2226 {x^(2n+1) Log[x^2+a^2],x},              (* Ret2.2 *)
2228 {Log[x^2+a^2],x},
2229 {x Log[x^2+a^2],x},
2230 {x^2 Log[x^2+a^2],x},
2231 {x^3 Log[x^2+a^2],x},
2232 {x^4 Log[x^2+a^2],x},
2234 {x^(2n) Log[x^2-a^2],x},                (* Ret2.2 *)
2236 {x^(2n+1) Log[x^2-a^2],x},              (* Ret2.2 *)
2238 {Log[x^2-a^2],x},
2239 {x Log[x^2-a^2],x},
2240 {x^2 Log[x^2-a^2],x},
2241 {x^3 Log[x^2-a^2],x},
2242 {x^4 Log[x^2-a^2],x},
2244 {ArcSinh[x/a],x},
2245 {ArcCosh[x/a],x},
2246 {ArcTanh[x/a],x},
2247 {ArcCoth[x/a],x},
2249 {x ArcSinh[x/a],x},
2250 {x ArcCosh[x/a],x},
2255 {ArcSin[x/a]^n,x},                      (* Ret2.2 *)
2257 {ArcCos[x/a]^n,x},                      (* Ret2.2 *)                                               …
2259 {ArcSin[x/a],x},
2260 {ArcSin[x/a]^2,x},
2261 {ArcSin[x/a]^3,x},
2263 {ArcCos[x/a],x},
2264 {ArcCos[x/a]^2,x},
2265 {ArcCos[x/a]^3,x},
2267 {ArcCsc[x/a],x},
2268 {ArcSec[x/a],x},
2270 {ArcTan[x/a],x},
2271 {ArcCot[x/a],x},
2273 {x^n ArcSin[x/a],x},                    (* Ret2.2 *)
2275 {x^n ArcCos[x/a],x},                    (* Ret2.2 *)
2276 {x^(-1) ArcCos[x],x},                   (* Ret2.2 *)                                               …
2278 {x ArcSin[x/a],x},
2279 {x ArcCos[x/a],x},
2281 {x^(-2) ArcSin[x/a],x},
2282 {x^(-2) ArcCos[x/a],x},
2284 {(a+b x)^(-2) ArcSin[x],x},
2286 {x (1+c x^2)^(-2) ArcSin[x],x},
2288 {x (1-x^2)^(-1/2) ArcSin[x],x},
2289 {x^2 (1-x^2)^(-1/2) ArcSin[x],x},
2290 {x^3 (1-x^2)^(-1/2) ArcSin[x],x},
2292 {(1-x^2)^(-3/2) ArcSin[x],x},
2293 {((1-x^2)^3)^(-1/2) ArcSin[x],x},
2294 {x (1-x^2)^(-3/2) ArcSin[x],x},
2295 {x ((1-x^2)^3)^(-1/2) ArcSin[x],x},
2297 {x ArcSec[x/a],x},
2298 {x^2 ArcSec[x/a],x},
2299 {x ArcCsc[x/a],x},
2301 {x^n ArcTan[x/a],x},                    (* Ret2.2 *)
2303 {x^n ArcCot[x/a],x},                    (* Ret2.2 *)                                               …
2304 {x^(-1) ArcTan[x],x},
2305 {x^(-1) ArcCot[x],x},
2307 {x ArcTan[x/a],x},
2308 {x ArcCot[x/a],x},
2310 {x^(-2) ArcTan[x/a],x},
2312 {(a+b x)^(-2) ArcTan[x],x},
2314 {x (1+x^2)^(-1) ArcTan[x],x},           (* Ret2.2 *)
2315 {x^2 (1+x^2)^(-1) ArcTan[x],x},
2316 {x^3 (1+x^2)^(-1) ArcTan[x],x},         (* Ret2.2 *)
2317 {x^4 (1+x^2)^(-1) ArcTan[x],x},
2319 {(1+x^2)^(-n-1) ArcTan[x],x},           (* Ret2.2 *)           (* Ret FS *)
2321 {x (1-x^2)^(-1/2) ArcTan[x],x},
2323 {(a+b x^2)^(-3/2) ArcTan[x],x},
2324 {((a+b x^2)^3)^(-1/2) ArcTan[x],x},
2329 {((a-x)(b-x)(c-x))^(-1/2),x},                                                                      …
2330 {((a-x)(b-x)(x-c))^(-1/2),x},
2331 {((a-x)(x-b)(x-c))^(-1/2),x},
2332 {((x-a)(x-b)(x-c))^(-1/2),x},
2334 {x ((a-x)(b-x)(c-x))^(-1/2),x},
2335 {x ((a-x)(b-x)(x-c))^(-1/2),x},
2336 {x ((a-x)(x-b)(x-c))^(-1/2),x},
2337 {x ((x-a)(x-b)(x-c))^(-1/2),x},
2339 {((a-x)^3(b-x)(c-x))^(-1/2),x},
2340 {((a-x)^3(b-x)(x-c))^(-1/2),x},
2341 {((a-x)^3(x-b)(x-c))^(-1/2),x},
2342 {((x-a)^3(x-b)(x-c))^(-1/2),x},
2343 {((a-x)(b-x)^3(c-x))^(-1/2),x},
2344 {((a-x)(b-x)^3(x-c))^(-1/2),x},
2345 {((a-x)(x-b)^3(x-c))^(-1/2),x},
2346 {((x-a)(x-b)^3(x-c))^(-1/2),x},
2347 {((a-x)(b-x)(c-x)^3)^(-1/2),x},
2348 {((a-x)(b-x)(x-c)^3)^(-1/2),x},
2349 {((a-x)(x-b)(x-c)^3)^(-1/2),x},
2350 {((x-a)(x-b)(x-c)^3)^(-1/2),x},
2352 {((a-x)^5(b-x)(c-x))^(-1/2),x},
2353 {((a-x)^5(b-x)(x-c))^(-1/2),x},
2354 {((a-x)^5(x-b)(x-c))^(-1/2),x},
2355 {((x-a)^5(x-b)(x-c))^(-1/2),x},
2356 {((a-x)(b-x)^5(c-x))^(-1/2),x},
2357 {((a-x)(b-x)^5(x-c))^(-1/2),x},
2358 {((a-x)(x-b)^5(x-c))^(-1/2),x},
2359 {((x-a)(x-b)^5(x-c))^(-1/2),x},
2360 {((a-x)(b-x)(c-x)^5)^(-1/2),x},
2361 {((a-x)(b-x)(x-c)^5)^(-1/2),x},
2362 {((a-x)(x-b)(x-c)^5)^(-1/2),x},
2363 {((x-a)(x-b)(x-c)^5)^(-1/2),x},
2365 {((a-x)(b-x)^3(c-x)^3)^(-1/2),x},
2366 {((a-x)(x-b)^3(x-c)^3)^(-1/2),x},
2367 {((x-a)(x-b)^3(x-c)^3)^(-1/2),x},
2368 {((a-x)^3(b-x)(c-x)^3)^(-1/2),x},
2369 {((a-x)^3(b-x)(x-c)^3)^(-1/2),x},
2370 {((a-x)^3(x-b)(x-c)^3)^(-1/2),x},
2371 {((x-a)^3(x-b)(x-c)^3)^(-1/2),x},
2372 {((a-x)^3(b-x)^3(c-x))^(-1/2),x},
2373 {((a-x)^3(b-x)^3(x-c))^(-1/2),x},
2374 {((x-a)^3(x-b)^3(x-c))^(-1/2),x},
2376 {((a-x)^3(b-x)^3(c-x)^3)^(-1/2),x},
2377 {((x-a)^3(x-b)^3(x-c)^3)^(-1/2),x},
2379 {(r-x)^(-1)((a-x)(b-x)(c-x))^(-1/2),x},
2380 {(r-x)^(-1)((a-x)(b-x)(x-c))^(-1/2),x},
2381 {(x-r)^(-1)((a-x)(x-b)(x-c))^(-1/2),x},
2382 {(x-r)^(-1)((x-a)(x-b)(x-c))^(-1/2),x},
2384 {(x (1-x)(1-k^2 x))^(-1/2),x},
2385 {(x (1-x)(1-k^2+k^2 x))^(-1/2),x},
2386 {(x (1-x)(x-1+k^2))^(-1/2),x},
2387 {(x (1+x)(1+(1-k^2) x))^(-1/2),x},
2388 {(x (1+x^2+2 (1-k^2-k^2) x))^(-1/2),x},
2389 {(x ((1-k^2)(1+x^2)+2(1+k^2) x))^(-1/2),x},
2390 {((x-a) ((x-m)^2+n^2))^(-1/2),x},
2391 {((a-x) ((x-m)^2+n^2))^(-1/2),x},
2393 {(1-x^3)^(-1/2),x},
2394 {(x^3-1)^(-1/2),x},
2395 {(1-x^3)^(1/2),x},
2396 {x (1-x^3)^(-1/2),x},
2397 {x^m (1-x^3)^(-1/2),x},                 (* Ret2.2 *)
2398 {x (x^3-1)^(-1/2),x},
2399 {(1-x)^(-1) (1-x^3)^(-1/2),x},
2400 {(x-1)^(-1) (x^3-1)^(-1/2),x},
2401 {(1-x)(1+Sqrt[3]-x)^(-2) (1-x^3)^(-1/2),x},                                                        …
2402 {(x-1)(1+Sqrt[3]-x)^(-2) (x^3-1)^(-1/2),x},                                                        …
2403 {(1-x)(1-Sqrt[3]-x)^(-2) (1-x^3)^(-1/2),x},
2404 {(x-1)(1-Sqrt[3]-x)^(-2) (x^3-1)^(-1/2),x},
2405 {(x^2+x+1)(1+Sqrt[3]-x)^(-2) (1-x^3)^(-1/2),x},
2406 {(x^2+x+1)(-1+Sqrt[3]+x)^(-2) (1-x^3)^(-1/2),x},
2407 {(x^2+x+1)(-1+Sqrt[3]+x)^(-2) (x^3-1)^(-1/2),x},
2408 {(x^2+x+1)(-1+Sqrt[3]+x)^(-2) (x^3-1)^(-1/2),x},
2409 {(x-1)(x^2+x+1)^(-1) (x^3-1)^(-1/2),x},
2410 {(1+Sqrt[3]-x)^2 ((1+Sqrt[3]-x)^2-4 Sqrt[3] p^2 (1-x))^(-1)(1-x^3)^(-1/2),x},
2412 {(1-Sqrt[3]-x)^2 ((1-Sqrt[3]-x)^2-4 Sqrt[3] p^2 (x-1))^(-1)(x^3-1)^(-1/2),x},                      …
2414 {((a-x)/((b-x)(c-x)))^(1/2),x},
2415 {((a-x)/((b-x)(x-c)))^(1/2),x},
2416 {((a-x)/((x-b)(x-c)))^(1/2),x},
2417 {((x-a)/((x-b)(x-c)))^(1/2),x},
2418 {((b-x)/((a-x)(c-x)))^(1/2),x},
2419 {((b-x)/((a-x)(x-c)))^(1/2),x},
2420 {((x-b)/((a-x)(x-c)))^(1/2),x},
2421 {((x-b)/((x-a)(x-c)))^(1/2),x},
2422 {((c-x)/((a-x)(b-x)))^(1/2),x},
2423 {((x-c)/((a-x)(b-x)))^(1/2),x},
2424 {((x-c)/((a-x)(x-b)))^(1/2),x},
2425 {((x-c)/((x-a)(x-b)))^(1/2),x},
2426 {((b-x)(c-x)/(a-x))^(1/2),x},
2427 {((b-x)(x-c)/(a-x))^(1/2),x},
2428 {((x-b)(x-c)/(a-x))^(1/2),x},
2429 {((x-b)(x-c)/(a-x))^(1/2),x},
2430 {((x-b)(x-c)/(x-a))^(1/2),x},
2431 {((a-x)(c-x)/(b-x))^(1/2),x},
2432 {((a-x)(x-c)/(b-x))^(1/2),x},
2433 {((a-x)(x-c)/(x-b))^(1/2),x},
2434 {((x-a)(x-c)/(x-b))^(1/2),x},
2435 {((a-x)(b-x)/(c-x))^(1/2),x},
2436 {((a-x)(b-x)/(x-c))^(1/2),x},
2437 {((a-x)(x-b)/(x-c))^(1/2),x},
2438 {((x-a)(x-b)/(x-c))^(1/2),x},
2440 {((a-x)/((b-x)(c-x)^3))^(1/2),x},
2441 {((a-x)/((b-x)(x-c)^3))^(1/2),x},
2442 {((a-x)/((x-b)(x-c)^3))^(1/2),x},
2443 {((x-a)/((x-b)(x-c)^3))^(1/2),x},
2444 {((a-x)/((b-x)^3(c-x)))^(1/2),x},
2445 {((a-x)/((b-x)^3(x-c)))^(1/2),x},
2446 {((a-x)/((x-b)^3(x-c)))^(1/2),x},
2447 {((x-a)/((x-b)^3(x-c)))^(1/2),x},
2448 {((b-x)/((a-x)^3(c-x)))^(1/2),x},
2449 {((b-x)/((a-x)^3(x-c)))^(1/2),x},
2450 {((x-b)/((a-x)^3(x-c)))^(1/2),x},
2451 {((x-b)/((x-a)^3(x-c)))^(1/2),x},
2452 {((b-x)/((a-x)(c-x)^3))^(1/2),x},
2453 {((b-x)/((a-x)(x-c)^3))^(1/2),x},
2454 {((x-b)/((a-x)(x-c)^3))^(1/2),x},
2455 {((x-b)/((x-a)(x-c)^3))^(1/2),x},
2456 {((c-x)/((a-x)^3(b-x)))^(1/2),x},
2457 {((x-c)/((a-x)^3(b-x)))^(1/2),x},
2458 {((x-c)/((a-x)^3(x-b)))^(1/2),x},
2459 {((x-c)/((x-a)^3(x-b)))^(1/2),x},
2460 {((c-x)/((a-x)(b-x)^3))^(1/2),x},
2461 {((x-c)/((a-x)(b-x)^3))^(1/2),x},
2462 {((x-c)/((a-x)(x-b)^3))^(1/2),x},
2463 {((x-c)/((x-a)(x-b)^3))^(1/2),x},
2465 {(1+x^4)^(1/2),x},
2467 {(x (x-1) (x^2-x+1))^(-1/2),x},
2468 {(x^3 (x-1)^3(x^2-x+1))^(-1/2),x},
2469 {(2x-1)^2 (x^3(x-1)^3(x^2-x+1))^(-1/2),x},
2470 {(x (x-1) (x^2-x+1)^3)^(-1/2),x},
2471 {(2x-1)^2 (x(x-1)(x^2-x+1)^3)^(-1/2),x},
2472 {(x (x-1)/(x^2-x+1)^3)^(1/2),x},
2473 {(2x-1)^(-2) (x (x-1)/(x^2-x+1))^(1/2),x},
2474 {(2x-1)^(-2) ((x^2-x+1)/(x (x-1)))^(1/2),x},
2475 {(2x-1)^(-2) (x (x-1)(x^2-x+1))^(-1/2),x},
2476 {(x^5 (x-1)^5 (x^2-x+1))^(-1/2),x},
2477 {(x (x-1) (x^2-x+1)^5)^(-1/2),x},
2478 {(2x-1)^(-4) (x (x-1) (x^2-x+1))^(-1/2),x},
2480 {((x-a)(x-b)((x-m)^2+n^2))^(-1/2),x},
2481 {((a-x)(x-b)((x-m)^2+n^2))^(-1/2),x},
2482 {(((x-m)^2+n^2)((x-m1)^2+n1^2))^(-1/2),x},
2484 {((a-x)(b-x)(c-x)(d-x))^(-1/2),x},
2485 {((a-x)(b-x)(c-x)(x-d))^(-1/2),x},
2486 {((a-x)(b-x)(x-c)(x-d))^(-1/2),x},
2487 {((a-x)(x-b)(x-c)(x-d))^(-1/2),x},
2488 {((x-a)(x-b)(x-c)(x-d))^(-1/2),x},
2490 {x ((a-x)(b-x)(c-x)(d-x))^(-1/2),x},
2491 {x ((a-x)(b-x)(c-x)(x-d))^(-1/2),x},
2492 {x ((a-x)(b-x)(x-c)(x-d))^(-1/2),x},
2493 {x ((a-x)(x-b)(x-c)(x-d))^(-1/2),x},
2494 {x ((x-a)(x-b)(x-c)(x-d))^(-1/2),x},
2496 {x^(-1) ((a-x)(b-x)(c-x)(d-x))^(-1/2),x},
2497 {x^(-1) ((a-x)(b-x)(c-x)(x-d))^(-1/2),x},
2498 {x^(-1) ((a-x)(b-x)(x-c)(x-d))^(-1/2),x},
2499 {x^(-1) ((a-x)(x-b)(x-c)(x-d))^(-1/2),x},
2500 {x^(-1) ((x-a)(x-b)(x-c)(x-d))^(-1/2),x},
2502 {(p-x)^(-1) ((a-x)(b-x)(c-x)(d-x))^(-1/2),x},
2503 {(p-x)^(-1) ((a-x)(b-x)(c-x)(x-d))^(-1/2),x},
2504 {(p-x)^(-1) ((a-x)(b-x)(x-c)(x-d))^(-1/2),x},
2505 {(x-p)^(-1) ((a-x)(x-b)(x-c)(x-d))^(-1/2),x},
2506 {(p-x)^(-1) ((a-x)(x-b)(x-c)(x-d))^(-1/2),x},
2507 {(p-x)^(-1) ((x-a)(x-b)(x-c)(x-d))^(-1/2),x},
2509 {((x^2+a^2)(x^2+b^2))^(-1/2),x},
2510 {((x^2+a^2)(-x^2+b^2))^(-1/2),x},
2511 {((x^2+a^2)(x^2-b^2))^(-1/2),x},
2512 {((-x^2+a^2)(-x^2+b^2))^(-1/2),x},
2513 {((-x^2+a^2)(x^2-b^2))^(-1/2),x},
2514 {((x^2-a^2)(x^2-b^2))^(-1/2),x},
2516 {x^2 ((x^2+a^2)(x^2+b^2))^(-1/2),x},
2517 {x^2 ((x^2+a^2)(-x^2+b^2))^(-1/2),x},
2518 {x^2 ((x^2+a^2)(x^2-b^2))^(-1/2),x},
2519 {x^2 ((-x^2+a^2)(-x^2+b^2))^(-1/2),x},
2520 {x^2 ((-x^2+a^2)(x^2-b^2))^(-1/2),x},
2521 {x^2 ((x^2-a^2)(x^2-b^2))^(-1/2),x},
2522 {x^2 ((1+x^2)(1+k^2 x^2))^(-1/2),x},
2524 {x^4 ((x^2+a^2)(x^2+b^2))^(-1/2),x},
2525 {x^4 ((x^2+a^2)(-x^2+b^2))^(-1/2),x},
2526 {x^4 ((x^2+a^2)(x^2-b^2))^(-1/2),x},
2527 {x^4 ((-x^2+a^2)(-x^2+b^2))^(-1/2),x},
2528 {x^4 ((-x^2+a^2)(x^2-b^2))^(-1/2),x},
2529 {x^4 ((x^2-a^2)(x^2-b^2))^(-1/2),x},
2531 {((-x^2+a^2)(x^2-b^2))^(1/2),x},
2532 {((x^2-a^2)(x^2-b^2))^(1/2),x},
2533 {((x^2+a^2)(x^2+b^2))^(1/2),x},
2534 {((x^2+a^2)(-x^2+b^2))^(1/2),x},
2535 {((x^2+a^2)(x^2-b^2))^(1/2),x},
2536 {((-x^2+a^2)(-x^2+b^2))^(1/2),x},
2537 {((-x^2+a^2)(x^2-b^2))^(1/2),x},
2539 {x^(-2) ((x^2+a^2)(x^2+b^2))^(-1/2),x},
2540 {x^(-2) ((x^2+a^2)(-x^2+b^2))^(-1/2),x},
2541 {x^(-2) ((x^2+a^2)(x^2-b^2))^(-1/2),x},
2542 {x^(-2) ((-x^2+a^2)(-x^2+b^2))^(-1/2),x},
2543 {x^(-2) ((-x^2+a^2)(x^2-b^2))^(-1/2),x},
2544 {x^(-2) ((x^2-a^2)(x^2-b^2))^(-1/2),x},
2546 {(p-x^2)^(-1) ((x^2+a^2)(x^2+b^2))^(-1/2),x},
2547 {(p-x^2)^(-1) ((x^2+a^2)(-x^2+b^2))^(-1/2),x},
2548 {(p-x^2)^(-1) ((x^2+a^2)(x^2-b^2))^(-1/2),x},
2549 {(x^2-p)^(-1) ((x^2+a^2)(x^2-b^2))^(-1/2),x},
2550 {(p-x^2)^(-1) ((-x^2+a^2)(-x^2+b^2))^(-1/2),x},
2551 {(p-x^2)^(-1) ((-x^2+a^2)(x^2-b^2))^(-1/2),x},
2552 {(x^2-p)^(-1) ((-x^2+a^2)(x^2-b^2))^(-1/2),x},
2553 {(p-x^2)^(-1) ((x^2-a^2)(x^2-b^2))^(-1/2),x},
2554 {(x^2-p)^(-1) ((x^2-a^2)(x^2-b^2))^(-1/2),x},
2556 {((x^2+a^2)(x^2+b^2)^3)^(-1/2),x},
2557 {((x^2+a^2)^3(x^2+b^2))^(-1/2),x},
2558 {((x^2+a^2)^3(-x^2+b^2))^(-1/2),x},
2559 {((x^2+a^2)^3(x^2-b^2))^(-1/2),x},
2560 {((x^2+a^2)(-x^2+b^2)^3)^(-1/2),x},
2561 {((x^2+a^2)(x^2-b^2)^3)^(-1/2),x},
2562 {((-x^2+a^2)^3(-x^2+b^2))^(-1/2),x},
2563 {((-x^2+a^2)^3(x^2-b^2))^(-1/2),x},
2564 {((x^2-a^2)^3(x^2-b^2))^(-1/2),x},
2565 {((-x^2+a^2)(-x^2+b^2)^3)^(-1/2),x},
2566 {((-x^2+a^2)(x^2-b^2)^3)^(-1/2),x},
2567 {((x^2-a^2)(x^2-b^2)^3)^(-1/2),x},
2569 {x^2 ((x^2+a^2)(x^2+b^2)^3)^(-1/2),x},
2570 {x^2 ((x^2+a^2)^3(x^2+b^2))^(-1/2),x},
2571 {x^2 ((x^2+a^2)^3(-x^2+b^2))^(-1/2),x},
2572 {x^2 ((x^2+a^2)^3(x^2-b^2))^(-1/2),x},
2573 {x^2 ((x^2+a^2)(-x^2+b^2)^3)^(-1/2),x},
2574 {x^2 ((x^2+a^2)(x^2-b^2)^3)^(-1/2),x},
2575 {x^2 ((-x^2+a^2)^3(-x^2+b^2))^(-1/2),x},
2576 {x^2 ((-x^2+a^2)^3(x^2-b^2))^(-1/2),x},
2577 {x^2 ((x^2-a^2)^3(x^2-b^2))^(-1/2),x},
2578 {x^2 ((-x^2+a^2)(-x^2+b^2)^3)^(-1/2),x},
2579 {x^2 ((-x^2+a^2)(x^2-b^2)^3)^(-1/2),x},
2580 {x^2 ((x^2-a^2)(x^2-b^2)^3)^(-1/2),x},
2582 {x^(-4) ((x^2+a^2)(x^2+b^2))^(-1/2),x},
2583 {x^(-4) ((x^2+a^2)(-x^2+b^2))^(-1/2),x},
2584 {x^(-4) ((x^2+a^2)(x^2-b^2))^(-1/2),x},
2585 {x^(-4) ((-x^2+a^2)(-x^2+b^2))^(-1/2),x},
2586 {x^(-4) ((-x^2+a^2)(x^2-b^2))^(-1/2),x},
2587 {x^(-4) ((x^2-a^2)(x^2-b^2))^(-1/2),x},
2589 {((x^2+a^2)^5(x^2+b^2))^(-1/2),x},
2590 {((x^2+a^2)(x^2+b^2)^5)^(-1/2),x},
2591 {((x^2+a^2)^5(-x^2+b^2))^(-1/2),x},
2592 {((x^2+a^2)^5(x^2-b^2))^(-1/2),x},
2593 {((x^2+a^2)(-x^2+b^2)^5)^(-1/2),x},
2594 {((x^2+a^2)(x^2-b^2)^5)^(-1/2),x},
2595 {((-x^2+a^2)(-x^2+b^2)^5)^(-1/2),x},
2596 {((-x^2+a^2)(x^2-b^2)^5)^(-1/2),x},
2597 {((x^2-a^2)(x^2-b^2)^5)^(-1/2),x},
2598 {((-x^2+a^2)^5(-x^2+b^2))^(-1/2),x},
2599 {((-x^2+a^2)^5(x^2-b^2))^(-1/2),x},
2600 {((x^2-a^2)^5(x^2-b^2))^(-1/2),x},
2602 {((x^2+a^2)^3(x^2+b^2)^3)^(-1/2),x},
2603 {((x^2+a^2)^3(-x^2+b^2)^3)^(-1/2),x},
2604 {((x^2+a^2)^3(x^2-b^2)^3)^(-1/2),x},
2605 {((-x^2+a^2)^3(-x^2+b^2)^3)^(-1/2),x},
2606 {((x^2-a^2)^3(x^2-b^2)^3)^(-1/2),x},
2608 {((x^2+a^2)(x^2+b^2))^(-1/2),x},
2609 {x^2 (x^2-a b)^(-2) ((x^2+a^2)(x^2+b^2))^(-1/2),x},
2610 {x^2 (x^2+a b)^(-2) ((x^2+a^2)(x^2+b^2))^(-1/2),x},
2611 {x^2 ((x^2+a^2)^3(x^2+b^2)^3)^(-1/2),x},
2612 {(x^2-a b)^2 ((x^2+a^2)^3(x^2+b^2)^3)^(-1/2),x},
2613 {(x^2+a b)^(-2) ((x^2+a^2)(x^2+b^2))^(1/2),x},
2614 {(x^2-a b)^2 (x^2+a b)^(-2) ((x^2+a^2)(x^2+b^2))^(-1/2),x},
2615 {(x^2+a b)^2 ((x^2+a b)^2-4 p a b x^2)^(-1) ((x^2+a^2)(x^2+b^2))^(-1/2),x},
2618 {(x^4+2 b^2 x^2+a^4)^(-1/2),x},
2619 {x^(-2) (x^4+2 b^2 x^2+a^4)^(-1/2),x},
2620 {x^2 (x^2+a^2)^(-2) (x^4+2 b^2 x^2+a^4)^(-1/2),x},
2621 {x^2 (x^2-a^2)^(-2) (x^4+2 b^2 x^2+a^4)^(-1/2),x},
2622 {x^2 (x^4+2 b^2 x^2+a^4)^(-3/2),x},
2623 {x^2 ((x^4+2 b^2 x^2+a^4)^3)^(-1/2),x},
2624 {(x^2-a^2)^2 (x^4+2 b^2 x^2+a^4)^(-3/2),x},
2625 {(x^2+a^2)^2 (x^4+2 b^2 x^2+a^4)^(-3/2),x},
2626 {(x^2-a^2)^2 ((x^4+2 b^2 x^2+a^4)^3)^(-1/2),x},
2627 {(x^2+a^2)^2 ((x^4+2 b^2 x^2+a^4)^3)^(-1/2),x},
2628 {(x^2-a^2)^2 (x^2+a^2)^(-2) (x^4+2 b^2 x^2+a^4)^(-1/2),x},
2629 {(x^2+a^2)^(-2) (x^4+2 b^2 x^2+a^4)^(1/2),x},
2630 {(x^2-a^2)^(-2) (x^4+2 b^2 x^2+a^4)^(1/2),x},
2631 {(x^2+a^2)^2 ((x^2+a^2)^2-4 a^2 p^2 x^2)^(-1) (x^4+2 b^2 x^2+a^4)^(-1/2),x},
2634 {(x^4+1)^(-1/2),x},
2635 {x^(-2) (x^4+1)^(-1/2),x},
2636 {x^2 (x^4+1)^(-3/2),x},
2637 {x^2 (x^2+1)^(-2) (x^4+1)^(-1/2),x},
2638 {x^2 (x^2-1)^(-2) (x^4+1)^(-1/2),x},
2639 {(x^2-1)^(-2) (x^4+1)^(1/2),x},
2640 {(x^2-1)^2 (x^2+1)^(-2) (x^4+1)^(-1/2),x},
2641 {(x^2+1)^(-2) (x^4+1)^(1/2),x},
2642 {(x^2+1)^2 ((x^2+1)^2-4 p^2 x^2)^(-1) (x^4+1)^(-1/2),x},
2644 {(x^2+x Sqrt[2]+1)(x^2-x Sqrt[2]+1)^(-1) (x^4+1)^(-1/2),x},
2645 {(1-x)^2 (x^2-x Sqrt[2]+1)^(-1) (x^4+1)^(-1/2),x},
2646 {(1+x)^2 (x^2-x Sqrt[2]+1)^(-1) (x^4+1)^(-1/2),x},
2647 {(-x^4+1)^(-1/2),x},
2648 {(x^4-1)^(-1/2),x},
2649 {x^2 (-x^4+1)^(-1/2),x},
2650 {x^2 (x^4-1)^(-1/2),x},
2651 {x^4 (-x^4+1)^(-1/2),x},
2652 {x^4 (x^4-1)^(-1/2),x},
2653 {(x (1+x^3))^(-1/2),x},
2654 {(x (1-x^3))^(-1/2),x},
2656 {((d-x)/((a-x)(b-x)(c-x)))^(-1/2),x},
2657 {((x-d)/((a-x)(b-x)(c-x)))^(-1/2),x},
2658 {((x-d)/((a-x)(b-x)(x-c)))^(-1/2),x},
2659 {((x-d)/((a-x)(x-b)(x-c)))^(-1/2),x},
2660 {((x-d)/((x-a)(x-b)(x-c)))^(-1/2),x},
2661 {((c-x)/((a-x)(b-x)(d-x)))^(-1/2),x},
2662 {((c-x)/((a-x)(b-x)(x-d)))^(-1/2),x},
2663 {((x-c)/((a-x)(b-x)(x-d)))^(-1/2),x},
2664 {((x-c)/((a-x)(x-b)(x-d)))^(-1/2),x},
2665 {((x-c)/((x-a)(x-b)(x-d)))^(-1/2),x},
2666 {((b-x)/((a-x)(c-x)(d-x)))^(-1/2),x},
2667 {((b-x)/((a-x)(c-x)(x-d)))^(-1/2),x},
2668 {((b-x)/((a-x)(x-c)(x-d)))^(-1/2),x},
2669 {((x-b)/((a-x)(x-c)(x-d)))^(-1/2),x},
2670 {((x-b)/((x-a)(x-c)(x-d)))^(-1/2),x},
2671 {((a-x)/((b-x)(c-x)(d-x)))^(-1/2),x},
2672 {((a-x)/((b-x)(c-x)(x-d)))^(-1/2),x},
2673 {((a-x)/((b-x)(x-c)(x-d)))^(-1/2),x},
2674 {((a-x)/((x-b)(x-c)(x-d)))^(-1/2),x},
2675 {((x-a)/((x-b)(x-c)(x-d)))^(-1/2),x},
2677 {((c-x)/((a-x)(b-x)(x-d)^3))^(-1/2),x},
2678 {((x-c)/((a-x)(b-x)(x-d)^3))^(-1/2),x},
2679 {((x-c)/((a-x)(x-b)(x-d)^3))^(-1/2),x},
2680 {((x-c)/((x-a)(x-b)(x-d)^3))^(-1/2),x},
2681 {((b-x)/((a-x)(c-x)(x-d)^3))^(-1/2),x},
2682 {((b-x)/((a-x)(x-c)(x-d)^3))^(-1/2),x},
2683 {((x-b)/((x-a)(x-c)(x-d)^3))^(-1/2),x},
2684 {((a-x)/((b-x)(c-x)(x-d)^3))^(-1/2),x},
2685 {((a-x)/((b-x)(x-c)(x-d)^3))^(-1/2),x},
2686 {((a-x)/((x-b)(x-c)(x-d)^3))^(-1/2),x},
2687 {((x-a)/((x-b)(x-c)(x-d)^3))^(-1/2),x},
2688 {((d-x)/((a-x)(b-x)(c-x)^3))^(-1/2),x},
2689 {((x-d)/((a-x)(b-x)(c-x)^3))^(-1/2),x},
2690 {((x-d)/((a-x)(b-x)(x-c)^3))^(-1/2),x},
2691 {((x-d)/((a-x)(x-b)(x-c)^3))^(-1/2),x},
2692 {((x-d)/((x-a)(x-b)(x-c)^3))^(-1/2),x},
2693 {((b-x)/((a-x)(c-x)^3(d-x)))^(-1/2),x},
2694 {((b-x)/((a-x)(c-x)^3(x-d)))^(-1/2),x},
2695 {((b-x)/((a-x)(x-c)^3(x-d)))^(-1/2),x},
2696 {((x-b)/((a-x)(x-c)^3(x-d)))^(-1/2),x},
2697 {((x-b)/((x-a)(x-c)^3(x-d)))^(-1/2),x},
2698 {((a-x)/((b-x)(c-x)^3(d-x)))^(-1/2),x},
2699 {((a-x)/((b-x)(c-x)^3(x-d)))^(-1/2),x},
2700 {((a-x)/((b-x)(x-c)^3(x-d)))^(-1/2),x},
2701 {((a-x)/((x-b)(x-c)^3(x-d)))^(-1/2),x},
2702 {((x-a)/((x-b)(x-c)^3(x-d)))^(-1/2),x},
2703 {((d-x)/((a-x)(b-x)^3(c-x)))^(-1/2),x},
2704 {((x-d)/((a-x)(b-x)^3(c-x)))^(-1/2),x},
2705 {((x-d)/((a-x)(b-x)^3(x-c)))^(-1/2),x},
2706 {((x-d)/((a-x)(x-b)^3(x-c)))^(-1/2),x},
2707 {((x-d)/((x-a)(x-b)^3(x-c)))^(-1/2),x},
2708 {((c-x)/((a-x)(b-x)^3(d-x)))^(-1/2),x},
2709 {((c-x)/((a-x)(b-x)^3(x-d)))^(-1/2),x},
2710 {((x-c)/((a-x)(b-x)^3(x-d)))^(-1/2),x},
2711 {((x-c)/((a-x)(x-b)^3(x-d)))^(-1/2),x},
2712 {((x-c)/((x-a)(x-b)^3(x-d)))^(-1/2),x},
2713 {((a-x)/((b-x)^3(c-x)(d-x)))^(-1/2),x},
2714 {((a-x)/((b-x)^3(c-x)(x-d)))^(-1/2),x},
2715 {((a-x)/((b-x)^3(x-c)(x-d)))^(-1/2),x},
2716 {((a-x)/((x-b)^3(x-c)(x-d)))^(-1/2),x},
2717 {((x-a)/((x-b)^3(x-c)(x-d)))^(-1/2),x},
2718 {((d-x)/((a-x)^3(b-x)(c-x)))^(-1/2),x},
2719 {((x-d)/((a-x)^3(b-x)(c-x)))^(-1/2),x},
2720 {((x-d)/((a-x)^3(b-x)(x-c)))^(-1/2),x},
2721 {((x-d)/((a-x)^3(x-b)(x-c)))^(-1/2),x},
2722 {((c-x)/((a-x)^3(b-x)(d-x)))^(-1/2),x},
2723 {((c-x)/((a-x)^3(b-x)(x-d)))^(-1/2),x},
2724 {((x-c)/((a-x)^3(b-x)(x-d)))^(-1/2),x},
2725 {((x-c)/((a-x)^3(x-b)(x-d)))^(-1/2),x},
2726 {((b-x)/((a-x)^3(c-x)(d-x)))^(-1/2),x},
2727 {((b-x)/((a-x)^3(c-x)(x-d)))^(-1/2),x},
2728 {((b-x)/((a-x)^3(x-c)(x-d)))^(-1/2),x},
2729 {((x-b)/((a-x)^3(x-c)(x-d)))^(-1/2),x},
2731 {((x^2+a^2)/(x^2+b^2))^(1/2),x},
2732 {((x^2+a^2)/(-x^2+b^2))^(1/2),x},
2733 {((x^2+a^2)/(x^2-b^2))^(1/2),x},
2734 {((-x^2+b^2)/(x^2+a^2))^(1/2),x},
2735 {((x^2-b^2)/(x^2+a^2))^(1/2),x},
2736 {((-x^2+b^2)/(-x^2+a^2))^(1/2),x},
2737 {((x^2-b^2)/(-x^2+a^2))^(1/2),x},
2738 {((x^2-b^2)/(x^2-a^2))^(1/2),x},
2739 {((-x^2+a^2)/(-x^2+b^2))^(1/2),x},
2740 {((-x^2+a^2)/(x^2-b^2))^(1/2),x},
2741 {((x^2-a^2)/(x^2-b^2))^(1/2),x},
2743 {x^(-2) ((x^2+a^2)/(x^2-b^2))^(1/2),x},
2744 {x^(-2) ((-x^2+a^2)/(-x^2+b^2))^(1/2),x},
2745 {x^(-2) ((-x^2+a^2)/(x^2-b^2))^(1/2),x},
2746 {x^(-2) ((x^2-a^2)/(x^2-b^2))^(1/2),x},
2747 {x^(-2) ((x^2+a^2)/(x^2+b^2))^(1/2),x},
2748 {x^(-2) ((-x^2+b^2)/(x^2+a^2))^(1/2),x},
2749 {x^(-2) ((x^2-b^2)/(x^2+a^2))^(1/2),x},
2750 {x^(-2) ((x^2+a^2)/(-x^2+b^2))^(1/2),x},
2751 {x^(-2) ((x^2-a^2)/(x^2-b^2))^(1/2),x},
2752 {x^(-2) ((x^2-b^2)/(-x^2+a^2))^(1/2),x},
2753 {x^(-2) ((x^2-b^2)/(x^2-a^2))^(1/2),x},
2755 {((x^2+b^2)/(x^2+a^2)^3)^(1/2),x},
2756 {((-x^2+b^2)/(x^2+a^2)^3)^(1/2),x},
2757 {((x^2-b^2)/(x^2+a^2)^3)^(1/2),x},
2758 {((x^2+a^2)/(-x^2+b^2)^3)^(1/2),x},
2759 {((x^2+a^2)/(x^2-b^2)^3)^(1/2),x},
2760 {((-x^2+b^2)/(a^2-x^2)^3)^(1/2),x},
2761 {((x^2-b^2)/(a^2-x^2)^3)^(1/2),x},
2762 {((x^2-b^2)/(-a^2+x^2)^3)^(1/2),x},
2763 {((a^2-x^2)/(-x^2+b^2)^3)^(1/2),x},
2764 {((-x^2+a^2)/(x^2-b^2)^3)^(1/2),x},
2765 {((x^2-a^2)/(x^2-b^2)^3)^(1/2),x},
2767 {x^(-2) ((x^2+1)/(-x^2+1))^(1/2),x},
2768 {x^(-2) ((x^2+1)/(x^2-1)^3)^(1/2),x},
2770 {(1+(1+Sqrt[3]) x)^(-2) ((1-x+x^2)/(x(1+x)))^(1/2),x},  (* Memoru fault 2.2 *)
2771 {(1+(-1+Sqrt[3]) x)^(-2) ((1+x+x^2)/(x(1-x)))^(1/2),x}, (* Memoru fault 2.2 *)
2772 {(1-x+x^2)^(-1) (x(1+x)/(1-x+x^2))^(1/2),x},
2773 {(1+x+x^2)^(-1) (x(1-x)/(1+x+x^2))^(1/2),x},
2776 {(1+x)^(-1) (x/(1+x^3))^(1/2),x},
2777 {(1-x)^(-1) (x/(1-x^3))^(1/2),x},
2779 {((a-x)(x-b))^(-1/4),x},                (* Ret2.2 *)
2780 {((x-a)(x-b))^(-1/4),x},                (* Ret2.2 *)
2782 {((a-x)(x-b))^(-3/4),x},                (* Ret2.2 *)
2783 {(((a-x)(x-b))^3)^(-1/4),x},            (* Ret2.2 *)                                               …
2784 {((x-a)(x-b))^(-3/4),x},                (* Ret2.2 *)
2785 {(((x-a)(x-b))^3)^(-1/4),x},            (* Ret2.2 *)                                               …
2787 {(x^2+1)^(-1/4),x},                     (* Ret2.2 *)
2788 {(-x^2+1)^(-1/4),x},                    (* Ret2.2 *)
2789 {(x^2-1)^(-1/4),x},                     (* Ret2.2 *)
2791 {x^2 (-x^2+1)^(-1/4),x},                (* Ret2.2 *)
2792 {x^(-2) (x^2-1)^(-1/4),x},              (* Ret2.2 *)
2794 {(x^2+1)^(-3/4),x},                     (* Ret2.2 *)                                               …
2795 {((x^2+1)^3)^(-1/4),x},                 (* Ret2.2 *)                                               …
2796 {(-x^2+1)^(-3/4),x},                    (* Ret2.2 *)
2797 {((-x^2+1)^3)^(-1/4),x},                (* Ret2.2 *)                                               …
2798 {(x^2-1)^(-3/4),x},                     (* Ret2.2 *)
2799 {((x^2-1)^3)^(-1/4),x},                 (* Ret2.2 *)                                               …
2800 {x^2 (-x^2+1)^(-3/4),x},                (* Ret2.2 *)
2801 {x^2 ((-x^2+1)^3)^(-1/4),x},            (* Ret2.2 *)                                               …
2802 {(x^2+1)^(-5/4),x},                     (* Ret2.2 *)
2803 {((x^2+1)^5)^(-1/4),x},                 (* Ret2.2 *)                                               …
2804 {x^2 (x^2+1)^(-5/4),x},                 (* Ret2.2 *)
2805 {x^2 ((x^2+1)^5)^(-1/4),x},             (* Ret2.2 *)                                               …
2806 {x^2 (x^2+1)^(-7/4),x},                 (* Ret2.2 *)
2807 {x^2 ((x^2+1)^7)^(-1/4),x},             (* Ret2.2 *)                                               …
2809 {(1+Sqrt[x^2+1]) (x^2+1)^(-5/4),x},     (* Ret2.2 *)
2810 {(1+Sqrt[-x^2+1])^(-1) (-x^2+1)^(-1/4),x},         (* Ret2.2 *)
2811 {(x^2+2 Sqrt[x^2-1])^(-1) (x^2-1)^(-1/4),x},       (* Ret2.2 *)
2812 {(1-Sqrt[-x^2+1]) (1+Sqrt[-x^2+1])^(-1) (-x^2+1)^(-3/4),x},
2814 {x^2 (x^2+2 Sqrt[x^2-1])^(-1) (x^2-1)^(-3/4),x},   (* Ret2.2 *)
2816 {x^(m-1) (1+b x)^(-v),x},               (* Ret2.2 *)
2817 {x^(m-1) (1+b x)^(-1),x},               (* Ret2.2 *)
2823 {x^(2p+3) EllipticK[x^2],x},            (* Ret2.2 *)                                               …
2824 {x^(2p+3) EllipticE[x^2],x},            (* Ret2.2 *)
2826 {EllipticK[x^2],x},                     (* Ret2.2 *)
2827 {EllipticE[x^2],x},                     (* Ret2.2 *)
2828 {x EllipticK[x^2],x},                   (* Ret2.2 *)
2829 {x EllipticE[x^2],x},                   (* Ret2.2 *)
2830 {x^3 EllipticK[x^2],x},                 (* Ret2.2 *)
2831 {x^3 EllipticE[x^2],x},                 (* Ret2.2 *)
2832 {x^5 EllipticK[x^2],x},                 (* Ret2.2 *)
2833 {x^5 EllipticE[x^2],x},                 (* Ret2.2 *)
2834 {x^(-2) EllipticK[x^2],x},              (* Ret2.2 *)
2835 {x^(-2) EllipticE[x^2],x},              (* Ret2.2 *)
2836 {(1-x^2)^(-1) EllipticE[x^2],x},        (* Ret2.2 *)
2837 {x^(-4) EllipticE[x^2],x},              (* Ret2.2 *)
2838 {x (1-x^2)^(-1) EllipticE[x^2],x},      (* Ret2.2 *)
2840 {x^(-1) (EllipticK[x^2]-EllipticE[x^2]),x},         (* Ret2.2 *)
2841 {x^(-1) (EllipticE[x^2]-(1-x^2) EllipticK[x^2]),x}, (* Ret2.2 *)
2842 {x^(-1) ((1+x^2) EllipticK[x^2]-EllipticE[x^2]),x}, (* Ret2.2 *)
2843 {x^(-2) (EllipticK[x^2]-EllipticE[x^2]),x},         (* Ret2.2 *)
2844 {x^(-2)(1-x^2)^(-1) (EllipticE[x^2]-(1-x^2) EllipticK[x^2]),x},
2846 {x^(-1)(1-x^2)^(-2) ((1+x^2) EllipticE[x^2]-(1-x^2) EllipticK[x^2]),x},
2849 {x EllipticK[x^2] (EllipticE[x^2]-(1-x^2) EllipticK[x^2])^(-2),x},
2852 {x EllipticPi[r,Pi/2,x^2],x},           (* Ret2.2 *)
2853 {x (EllipticK[x^2]-EllipticPi[r,Pi/2,x^2]),x},               (* Ret2.2 *)
2854 {x ((1-x^2)^(-1) EllipticE[x^2]+EllipticPi[r,Pi/2,x^2]),x},  (* Ret2.2 *)
2856 {EllipticF[x,k^2] (1-k^2 Sin[x]^2)^(-1/2),x},
2858 {EllipticE[x,k^2] (1-k^2 Sin[x]^2)^(1/2),x},
2860 {EllipticF[x,k^2] Sin[x],x},
2861 {EllipticF[x,k^2] Cos[x],x},
2863 {EllipticE[x,k^2] Sin[x],x},
2864 {EllipticE[x,k^2] Cos[x],x},
2866 {EllipticPi[a,x,k^2] Sin[x],x},
2867 {EllipticPi[a,x,k^2] Cos[x],x},
2869 {x EllipticF[a,x^2],x},                 (* Ret2.2 *)
2871 {x EllipticE[a,x^2],x},                 (* Ret2.2 *)
2873 {x EllipticPi[r,a,x^2],x},              (* Ret2.2 *)
2875  {JacobiSN[x, m]^p,x},             (* ********* Return GENERICALLY ********* *)
2876  {JacobiCN[x, m]^p,x},             (* ********* Return GENERICALLY ********* *)
2877  {JacobiDN[x, m]^p,x},             (* ********* Return GENERICALLY ********* *)
2879 {JacobiSN[x, m]^(-1),x},               (* Ret2.2 *)          (* BAD FS ret *)
2880 {JacobiCN[x, m]^(-1),x},               (* Ret2.2 *)          (* BAD FS ret *)
2881 {JacobiDN[x, m]^(-1),x},               (* Ret2.2 *)          (* BAD FS ret *)
2883 {JacobiSN[x, m],x},                    (* Ret2.2 *)
2884 {JacobiCN[x, m],x},                    (* Ret2.2 *)          (* BAD FS ret *)
2885 {JacobiDN[x, m],x},                    (* Ret2.2 *)
2887 {JacobiSN[x, m]^2,x},                  (* Ret2.2 *)          (* BAD FS ret *)
2888 {JacobiCN[x, m]^2,x},                  (* Ret2.2 *)          (* BAD FS ret *)
2889 {JacobiDN[x, m]^2,x},                  (* Ret2.2 *)          (* BAD FS ret *)
2891 {JacobiSN[x, m]/JacobiCN[x, m],x},     (* Ret2.2 *)        (* BAD FS ret *)
2892 {JacobiSN[x, m]/JacobiDN[x, m],x},     (* Ret2.2 *)        (* BAD FS ret *)
2893 {JacobiCN[x, m]/JacobiSN[x, m],x},     (* Ret2.2 *)        (* BAD FS ret *)
2894 {JacobiCN[x, m]/JacobiDN[x, m],x},     (* Ret2.2 *)        (* BAD FS ret *)
2895 {JacobiDN[x, m]/JacobiCN[x, m],x},     (* Ret2.2 *)        (* BAD FS ret *)
2896 {JacobiDN[x, m]/JacobiSN[x, m],x},     (* Ret2.2 *)        (* BAD FS ret *)
2898 {JacobiSN[x, m] JacobiCN[x, m],x},     (* Ret2.2 *)
2899 {JacobiSN[x, m] JacobiDN[x, m],x},     (* Ret2.2 *)
2900 {JacobiCN[x, m] JacobiDN[x, m],x},     (* Ret2.2 *)
2902 {JacobiSN[x, m] JacobiCN[x, m]^(-2),x}, (* Ret2.2 *)      (* BAD FS ret *)
2903 {JacobiSN[x, m] JacobiDN[x, m]^(-2),x}, (* Ret2.2 *)      (* BAD FS ret *)
2904 {JacobiCN[x, m] JacobiSN[x, m]^(-2),x}, (* Ret2.2 *)      (* BAD FS ret *)
2905 {JacobiCN[x, m] JacobiDN[x, m]^(-2),x}, (* Ret2.2 *)      (* BAD FS ret *)
2906 {JacobiDN[x, m] JacobiSN[x, m]^(-2),x}, (* Ret2.2 *)      (* BAD FS ret *)
2907 {JacobiDN[x, m] JacobiCN[x, m]^(-2),x}, (* Ret2.2 *)      (* BAD FS ret *)
2909 {JacobiCN[x, m] JacobiSN[x, m]^(-1) JacobiDN[x, m]^(-1),x},    (* Ret2.2 *)
2911 {JacobiSN[x, m] JacobiCN[x, m]^(-1) JacobiDN[x, m]^(-1),x},    (* Ret2.2 *)
2913 {JacobiDN[x, m] JacobiSN[x, m]^(-1) JacobiCN[x, m]^(-1),x},    (* Ret2.2 *)
2916 {JacobiCN[x, m] JacobiDN[x, m] JacobiSN[x, m]^(-1),x},
2917 {JacobiSN[x, m] JacobiDN[x, m] JacobiCN[x, m]^(-1),x},
2918 {JacobiSN[x, m] JacobiCN[x, m] JacobiDN[x, m]^(-1),x},
2920 {WeierstrassP[x, {g2, g3}],x},           (* Ret2.2 *)
2921 {WeierstrassP[x, {g2, g3}]^2,x},         (* Ret2.2 *)
2922 {WeierstrassP[x, {g2, g3}]^3,x},         (* Ret2.2 *)        (* BAD FS ret *)                      …
2923 {(WeierstrassP[x, {g2, g3}]-WeierstrassP[a, {g2, g3}])^(-1),x},
2925  {(a WeierstrassP[x, {g2, g3}]+b)(c WeierstrassP[x, {g2, g3}]+d)^(-1),x},
2929 {ExpIntegralEi[-b x] ExpIntegralEi[-c x],x},
2931  {x^(-n-1) ExpIntegralEi[-a (x+b)],x},(* ******* Return GENERICALLY ******** *)
2932 {x^(-2) ExpIntegralEi[-a (x+b)],x},
2934 {Exp[x] ExpIntegralEi[-x],x},           (* Numer2.2 *)
2935 {Exp[-b x] ExpIntegralEi[-a x],x},
2937 {Cos[a x] CosIntegral[b x],x},          (* Ret2.2 *)
2938 {Sin[a x] CosIntegral[b x],x},          (* Ret2.2 *)
2940 {Cos[a x] SinIntegral[b x],x},          (* Ret2.2 *)
2941 {Sin[a x] SinIntegral[b x],x},          (* Ret2.2 *)
2943 {CosIntegral[a x] CosIntegral[b x],x},
2944 {SinIntegral[a x] SinIntegral[b x],x},
2945 {SinIntegral[a x] CosIntegral[b x],x},
2947 {x^(-2) SinIntegral[a (x+b)],x},        (* Ret2.2 *)
2948 {x^(-2) CosIntegral[a (x+b)],x},        (* Ret2.2 *)
2950 {Erf[a x],x},
2952 {FresnelS[a x],x},
2954 {FresnelC[a x],x},
2956 {BesselJ[p,x],x},                       (* Ret2.2 *)                                               …
2958 {x^(p+1) BesselJ[p,x],x},               (* Ret2.2 *)
2959 {x^(p+1) BesselY[p,x],x},               (* Ret2.2 *)
2960 {x^(p+1) BesselI[p,x],x},               (* Ret2.2 *)
2961 {x^(p+1) BesselK[p,x],x},               (* Ret2.2 *)
2963 {((a^2-b^2) x-(p^2-q^2)/x) BesselJ[p,a x] BesselJ[q,b x],x}, (* Ret2.2 *)
2965 {((a^2-b^2) x-(p^2-q^2)/x) BesselJ[p,a x] BesselY[q,b x],x}, (* Ret2.2 *)
2967 {((a^2-b^2) x-(p^2-q^2)/x) BesselY[p,a x] BesselY[q,b x],x}, (* Ret2.2 *)
2971 {x BesselJ[p,a x] BesselJ[p,b x],x},    (* Ret2.2 *)
2972 {x BesselJ[p,a x] BesselY[p,b x],x},    (* Ret2.2 *)
2973 {x BesselY[p,a x] BesselY[p,b x],x},    (* Ret2.2 *)
2974 {x BesselJ[p,a x]^2,x},                 (* Ret2.2 *)
2975 {x BesselY[p,a x]^2,x},                 (* Ret2.2 *)
2976 {x BesselJ[p,a x] BesselI[p,b x],x},    (* Ret2.2 *)
2977 {x BesselY[p,a x] BesselI[p,b x],x},    (* Ret2.2 *)
2978 {x BesselI[p,a x] BesselI[p,b x],x},    (* Ret2.2 *)
2979 {x BesselY[p,a x] BesselK[p,b x],x},    (* Ret2.2 *)
2980 {x BesselI[p,a x] BesselK[p,b x],x},    (* Ret2.2 *)           (* Ret FS *)                        …
2981 {x BesselK[p,a x] BesselK[p,b x],x},    (* Ret2.2 *)
2982 {x BesselI[p,a x]^2,x},                 (* Ret2.2 *)
2983 {x BesselK[p,a x]^2,x},                 (* Ret2.2 *)
2985 {x^(-1) BesselJ[p,a x] BesselJ[q,a x],x}, (* Ret2.2 *)         (* Ret FS *)                        …
2986 {x^(-1) BesselJ[p,a x] BesselY[q,a x],x}, (* Ret2.2 *)         (* Ret FS *)                        …
2987 {x^(-1) BesselY[p,a x] BesselY[q,a x],x}, (* Ret2.2 *)         (* Ret FS *)
2990 {BesselJ[1,x],x},                       (* Ret2.2 *)
2991 {BesselY[1,x],x},                       (* Ret2.2 *)                                               …
2992 {BesselI[1,x],x},                       (* Ret2.2 *)
2993 {BesselK[1,x],x},                       (* Ret2.2 *)                                               …
2994 {x BesselJ[0,x],x},                     (* Ret2.2 *)
2995 {x BesselY[0,x],x},                     (* Ret2.2 *)
2996 {x BesselI[0,x],x},                     (* Ret2.2 *)
2997 {x BesselK[0,x],x},                     (* Ret2.2 *)
2999 {ExpIntegralEi[a x],x},
3001 {LogGamma[x],x},                  (* GEN *)
3002 {LogGamma[a+x],x},                (* GEN *)
3004 {PolyGamma[x],x},
3006 {BesselJ[v,x],x},                       (* Ret2.2 *)                                               …
3007 {BesselJ[0,x],x},                       (* Ret2.2 *)                                               …
3008 {BesselJ[1,x],x},                       (* Ret2.2 *)                                               …
3009 {BesselY[v,x],x},                       (* Ret2.2 *)                                               …
3010 {BesselI[v,x],x},                       (* Ret2.2 *)                                               …
3012 {x BesselJ[v,l x] BesselK[v,m x],x}}    (* Ret2.2 *)
3046        check= {Abs[N[(D[ExpandAll[output],x]-Test[[i,1]])/.
3047                {x->Random[Real,{-10, 10}]} /.
3058        check= {Abs[N[(D[output,x]-Test[[i,1]])/.
3059              {x->Random[]}/.{a->-Random[]}/.
3095       NumericQ[f[(x/.listS),(y/.listS),(g/.listS)]]
3098 listS = {x->Random[],a->-Random[],
3110        check= {Abs[N[(D[output,x]-Test[[i,1]])/.derivativesrule/.listS
3114        check= {FullSimplify[(D[output,x]-Test[[i,1]])], BAD};
3119        check= {Abs[N[(D[output,x]-Test[[i,1]])/.listS
3125                  {Abs[N[(D[output,x]-Test[[i,1]])/.listS
3136                          Simplify[D[output,x]-Test[[i,1]]],
3137                          D[output,x]-Test[[i,1]]])/.listS
3202 ran := Module[{x = Random[Real, {0, 1}]},
3204                 Which[  x < .2, rpos,
3205                         x < .5, rr,
3206                         x < .7, ri,