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Searched refs:Simp (Results 1 – 25 of 286) sorted by relevance

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/dports/math/py-sympy/sympy-1.9/sympy/integrals/rubi/rules/
H A Dspecial_functions.py724 return Simp(exp(-(a + b*x)**S(2))/(sqrt(Pi)*b), x) + Simp((a + b*x)*Erf(a + b*x)/b, x)
728 return -Simp(exp(-(a + b*x)**S(2))/(sqrt(Pi)*b), x) + Simp((a + b*x)*Erfc(a + b*x)/b, x)
732 return -Simp(exp((a + b*x)**S(2))/(sqrt(Pi)*b), x) + Simp((a + b*x)*Erfi(a + b*x)/b, x)
940 …return -Simp(EulerGamma*log(x), x) + Simp(b*x*HypergeometricPFQ(List(S(1), S(1), S(1)), List(S(2),…
964 return -Simp(exp(a + b*x)/b, x) + Simp((a + b*x)*ExpIntegralEi(a + b*x)/b, x)
1000 return -Simp(b*x, x) + Simp(LogIntegral(b*x)*log(b*x), x)
1008 return Simp(cos(a + b*x)/b, x) + Simp((a + b*x)*SinIntegral(a + b*x)/b, x)
1012 return -Simp(sin(a + b*x)/b, x) + Simp((a + b*x)*CosIntegral(a + b*x)/b, x)
1104 return -Simp(cosh(a + b*x)/b, x) + Simp((a + b*x)*SinhIntegral(a + b*x)/b, x)
1108 return -Simp(sinh(a + b*x)/b, x) + Simp((a + b*x)*CoshIntegral(a + b*x)/b, x)
[all …]
H A Dtangent.py1965 …return Dist(S(2)*a*b, Int(tan(c + d*x), x), x) + Simp(x*(a**S(2) - b**S(2)), x) + Simp(b**S(2)*tan…
1969 …return Dist(S(2)*a*b, Int(S(1)/tan(c + d*x), x), x) + Simp(x*(a**S(2) - b**S(2)), x) - Simp(b**S(2…
2205 …return Simp(b**S(2)*atanh(sin(e + f*x))/f, x) + Simp((a**S(2) - b**S(2))*sin(e + f*x)/f, x) - Simp…
2209 …return -Simp(b**S(2)*atanh(cos(e + f*x))/f, x) - Simp((a**S(2) - b**S(2))*cos(e + f*x)/f, x) + Sim…
2333 return Simp(x*(a*c - b*d), x) + Simp(b*d*tan(e + f*x)/f, x)
2337 return Simp(x*(a*c - b*d), x) - Simp(b*d/(f*tan(e + f*x)), x)
2341 …return Dist(a*d + b*c, Int(tan(e + f*x), x), x) + Simp(x*(a*c - b*d), x) + Simp(b*d*tan(e + f*x)/f…
2345 …return Dist(a*d + b*c, Int(S(1)/tan(e + f*x), x), x) + Simp(x*(a*c - b*d), x) - Simp(b*d/(f*tan(e …
2365 …return Int((a + b*tan(e + f*x))**(m + S(-1))*Simp(a*c - b*d + (a*d + b*c)*tan(e + f*x), x), x) + S…
3135 …return Int((a + b*tan(e + f*x))**m*Simp(A + B*tan(e + f*x) - C, x), x) + Simp(C*(a + b*tan(e + f*x…
[all …]
H A Dhyperbolic.py1487 return Simp(SinhIntegral(e + f*x)/d, x)
1491 return Simp(CoshIntegral(e + f*x)/d, x)
1801 return Simp(SinhIntegral(d*x**n)/n, x)
1805 return Simp(CoshIntegral(d*x**n)/n, x)
2067 return Simp(sinh(a + b*x**n)**(p + S(1))/(b*n*(p + S(1))), x)
2071 return Simp(cosh(a + b*x**n)**(p + S(1))/(b*n*(p + S(1))), x)
2107 return Simp(e*cosh(a + b*x + c*x**S(2))/(S(2)*c), x)
2111 return Simp(e*sinh(a + b*x + c*x**S(2))/(S(2)*c), x)
2821 return -Dist(m, Int(u*x**(m + S(-1)), x), x) + Simp(u*x**m, x)
2886 …return -Simp(x*sinh(a + b*log(c*x**n))/(b**S(2)*n**S(2) + S(-1)), x) + Simp(b*n*x*cosh(a + b*log(c…
[all …]
H A Dinverse_trig.py2064 return Simp(log(a + b*asin(c*x))/(b*c*sqrt(d)), x)
2068 return -Simp(log(a + b*acos(c*x))/(b*c*sqrt(d)), x)
3056 …n Simp(I*PolyLog(S(2), Simp(I*c*(d + e*x)/(I*c*d - e), x))/(S(2)*e), x) - Simp(I*PolyLog(S(2), Sim…
3220 …return Simp(b/(c*d*sqrt(d + e*x**S(2))), x) + Simp(x*(a + b*ArcTan(c*x))/(d*sqrt(d + e*x**S(2))), …
3224 …return -Simp(b/(c*d*sqrt(d + e*x**S(2))), x) + Simp(x*(a + b*acot(c*x))/(d*sqrt(d + e*x**S(2))), x)
3768 return Simp(exp(n*ArcTan(a*x))/(a*c*n), x)
3936 return -Simp(exp(n*acot(a*x))/(a*c*n), x)
4136 return Simp(log(ArcTan(c*x/sqrt(a + b*x**S(2))))/c, x)
4140 return -Simp(log(acot(c*x/sqrt(a + b*x**S(2))))/c, x)
4610 …Simp(I*PolyLog(S(2), (S(1) - sqrt(S(1) - a**S(2)))*exp(I*asec(a + b*x))/a), x) - Simp(I*PolyLog(S(…
[all …]
H A Dlogarithms.py109 RectifyCotangent, Inequality, Condition, Simp, SimpHelp, SplitProduct,
622 return Simp((e + f*x)*log(c*(d*(e + f*x)**p)**q)/f, x) - Simp(p*q*x, x)
630 return Simp(LogIntegral(d*(e + f*x))/(d*f), x)
694 return -Simp(PolyLog(S(2), -(g + h*x)*Together(c*f/h))/h, x)
774 return -Simp(f*PolyLog(S(2), (-e + f*x)/(e + f*x))/(S(2)*e*h), x)
912 return Simp(PolyLog(S(2), Together(-a*e + c)/(c + d*x))/g, x)
1189 return Simp(w*PolyLog(S(2), Together(S(1) - v)), x)
1216 …a*n*p, Int(S(1)/(a + b*(d + e*x)**n), x), x) + Simp((d + e*x)*log(c*(a + b*(d + e*x)**n)**p)/e, x)…
1323 return -Int(SimplifyIntegrand(x*D(u, x)/u, x), x) + Simp(x*log(u), x)
1336 return -Int(SimplifyIntegrand(v*D(u, x)/u, x), x) + Simp(v*log(u), x)
[all …]
H A Dpiecewise_linear.py109 RectifyCotangent, Inequality, Condition, Simp, SimpHelp, SplitProduct,
223 return -Dist((-a*v + b*u)/a, Int(S(1)/u, x), x) + Simp(b*x/a, x)
240 return -Dist((-a*v + b*u)/a, Int(v**(n + S(-1))/u, x), x) + Simp(v**n/(a*n), x)
274 return Simp(S(2)*ArcTan(sqrt(v)/Rt((-a*v + b*u)/a, S(2)))/(a*Rt((-a*v + b*u)/a, S(2))), x)
291 return Simp(-S(2)*atanh(sqrt(v)/Rt(-(-a*v + b*u)/a, S(2)))/(a*Rt(-(-a*v + b*u)/a, S(2))), x)
308 …return -Dist(a/(-a*v + b*u), Int(v**(n + S(1))/u, x), x) + Simp(v**(n + S(1))/((n + S(1))*(-a*v + …
325 …return Simp(v**(n + S(1))*Hypergeometric2F1(S(1), n + S(1), n + S(2), -a*v/(-a*v + b*u))/((n + S(1…
342 return Simp(S(2)*atanh(sqrt(u)*Rt(a*b, S(2))/(a*sqrt(v)))/Rt(a*b, S(2)), x)
359 return Simp(S(2)*ArcTan(sqrt(u)*Rt(-a*b, S(2))/(a*sqrt(v)))/Rt(-a*b, S(2)), x)
376 return -Simp(u**(m + S(1))*v**(n + S(1))/((m + S(1))*(-a*v + b*u)), x)
[all …]
H A Dlinear_products.py607 return Simp(a_*x, x)
611 return Simp(log(x), x)
615 return Simp(x**(m + S(1))/(m + S(1)), x)
619 return Simp(log(RemoveContent(a + b*x, x))/b, x)
623 return Simp((a + b*x)**(m + S(1))/(b*(m + S(1))), x)
647 return Simp(x/(a*c*sqrt(a + b*x)*sqrt(c + d*x)), x)
659 return Simp(acosh(b*x/a)/b, x)
769 …return -Simp(q*log(c + d*x)/(S(2)*d), x) - Simp(S(3)*q*log(q*(a + b*x)**(S(1)/3)/(c + d*x)**(S(1)/…
774 …return Simp(q*log(c + d*x)/(S(2)*d), x) + Simp(S(3)*q*log(q*(a + b*x)**(S(1)/3)/(c + d*x)**(S(1)/3…
905 …turn Simp(q*log(e + f*x)/(-S(2)*c*f + S(2)*d*e), x) - Simp(S(3)*q*log(q*(a + b*x)**(S(1)/3) - (c +…
[all …]
H A Dsecant.py2524 return Simp(atanh(sin(c + d*x))/d, x)
2528 return -Simp(atanh(cos(c + d*x))/d, x)
2700 return Simp(S(2)*b*tan(e + f*x)/(f*sqrt(a + b/cos(e + f*x))), x)
2704 return Simp(-S(2)*b/(f*sqrt(a + b/sin(e + f*x))*tan(e + f*x)), x)
2716 return Simp(tan(e + f*x)/(f*(a/cos(e + f*x) + b)), x)
2720 return -Simp(S(1)/(f*(a/sin(e + f*x) + b)*tan(e + f*x)), x)
3628 return Dist(b*d, Int(cos(e + f*x)**(S(-2)), x), x) + Simp(a*c*x, x)
4628 return -Simp(A*(b/cos(e + f*x))**m*tan(e + f*x)/(f*m), x)
4632 return Simp(A*(b/sin(e + f*x))**m/(f*m*tan(e + f*x)), x)
4676 …return Dist(S(1)/2, Int(Simp(S(2)*A*a + S(2)*C*a/cos(e + f*x)**S(2) + b*(S(2)*A + C)/cos(e + f*x),…
[all …]
H A Dquadratic_products.py109 RectifyCotangent, Inequality, Condition, Simp, SimpHelp, SplitProduct,
1657 …return Dist(c**(-p), Int(Simp(b/S(2) + c*x - q/S(2), x)**p*Simp(b/S(2) + c*x + q/S(2), x)**p, x), …
1678 …return Dist(c/q, Int(S(1)/Simp(b/S(2) + c*x - q/S(2), x), x), x) - Dist(c/q, Int(S(1)/Simp(b/S(2) …
2043 …st(S(1)/c, Int((d + e*x)**(m + S(-2))*Simp(-a*e**S(2) + c*d**S(2) + S(2)*c*d*e*x, x)/(a + c*x**S(2…
2083 return Simp((-a*e + c*d*x)/(a*c*sqrt(a + c*x**S(2))), x)
2236 …n -Simp(S(3)*c*e*log(d + e*x)/(S(2)*q**S(2)), x) + Simp(S(3)*c*e*log(-b*e + c*d - c*e*x - q*(a + b…
2246 …n -Simp(S(3)*c*e*log(d + e*x)/(S(2)*q**S(2)), x) + Simp(S(3)*c*e*log(-b*e + c*d - c*e*x + q*(a + b…
2263 …(-S(4)*c/(-S(4)*a*c + b**S(2)))**(-p), Subst(Int(Simp(-x**S(2)/(-S(4)*a*c + b**S(2)) + S(1), x)**p…
2719 …)/c, Int((d + e*x)**(m + S(-1))*Simp(-a*e*g + c*d*f + x*(-b*e*g + c*d*g + c*e*f), x)/(a + b*x + c*…
2723 …ist(S(1)/c, Int((d + e*x)**(m + S(-1))*Simp(-a*e*g + c*d*f + x*(c*d*g + c*e*f), x)/(a + c*x**S(2))…
[all …]
H A Dinverse_hyperbolic.py2193 return Simp(log(a + b*asinh(c*x))/(b*c*sqrt(d)), x)
3321 …return -Simp(PolyLog(S(2), Simp(c*(d + e*x)/(c*d - e), x))/(S(2)*e), x) + Simp(PolyLog(S(2), Simp(…
3485 …return -Simp(b/(c*d*sqrt(d + e*x**S(2))), x) + Simp(x*(a + b*atanh(c*x))/(d*sqrt(d + e*x**S(2))), …
3489 …return -Simp(b/(c*d*sqrt(d + e*x**S(2))), x) + Simp(x*(a + b*acoth(c*x))/(d*sqrt(d + e*x**S(2))), …
4041 return Simp(exp(n*atanh(a*x))/(a*c*n), x)
4225 return Simp(exp(n*acoth(a*x))/(a*c*n), x)
4425 return Simp(log(atanh(c*x/sqrt(a + b*x**S(2))))/c, x)
4429 return -Simp(log(acoth(c*x/sqrt(a + b*x**S(2))))/c, x)
4859 …Simp(log(S(1) - (S(1) - sqrt(S(1) - a**S(2)))*exp(-asech(a + b*x))/a)*asech(a + b*x), x) + Simp(lo…
4863 …Simp(log(S(1) + (S(1) - sqrt(a**S(2) + S(1)))*exp(acsch(a + b*x))/a)*acsch(a + b*x), x) + Simp(log…
[all …]
H A Dsine.py3988 return -Simp(cos(c + d*x)/d, x)
3992 return Simp(sin(c + d*x)/d, x)
4141 return Simp(x/q, x) + Simp(S(2)*ArcTan(b*cos(c + d*x)/(a + b*sin(c + d*x) + q))/(d*q), x)
4146 return Simp(x/q, x) - Simp(S(2)*ArcTan(b*sin(c + d*x)/(a + b*cos(c + d*x) + q))/(d*q), x)
4151 return -Simp(x/q, x) - Simp(S(2)*ArcTan(b*cos(c + d*x)/(a + b*sin(c + d*x) - q))/(d*q), x)
4156 return -Simp(x/q, x) + Simp(S(2)*ArcTan(b*sin(c + d*x)/(a + b*cos(c + d*x) - q))/(d*q), x)
4759 …return Simp(x*(S(2)*a*c + b*d)/S(2), x) - Simp((a*d + b*c)*cos(e + f*x)/f, x) - Simp(b*d*sin(e + f…
4763 …return Simp(x*(S(2)*a*c + b*d)/S(2), x) + Simp((a*d + b*c)*sin(e + f*x)/f, x) + Simp(b*d*sin(e + f…
7565 …Simp(x*(S(2)*A*a - C*c)/(S(2)*a**S(2)), x) - Simp(C*cos(d + e*x)/(S(2)*a*e), x) + Simp((S(2)*A*a*c…
8503 return Simp(SinIntegral(d*x**n)/n, x)
[all …]
H A Dmiscellaneous_trig.py1458 …return Simp(sin(a - c + x*(b - d))/(S(2)*b - S(2)*d), x) - Simp(sin(a + c + x*(b + d))/(S(2)*b + S…
1462 …return Simp(sin(a - c + x*(b - d))/(S(2)*b - S(2)*d), x) + Simp(sin(a + c + x*(b + d))/(S(2)*b + S…
1466 …return -Simp(cos(a - c + x*(b - d))/(S(2)*b - S(2)*d), x) - Simp(cos(a + c + x*(b + d))/(S(2)*b + …
1550 …return Simp(log(sin(a + b*x) + sqrt(sin(c + d*x)) + cos(a + b*x))/d, x) - Simp(-asin(sin(a + b*x) …
1554 …return -Simp(log(sin(a + b*x) + sqrt(sin(c + d*x)) + cos(a + b*x))/d, x) - Simp(-asin(sin(a + b*x)…
2133 return Simp(q*log(RemoveContent(ActivateTrig(y), x)), x)
2152 return Simp(q*log(RemoveContent(ActivateTrig(w*y), x)), x)
2171 return Simp(q*ActivateTrig(y**(m + S(1)))/(m + S(1)), x)
2588 …return Simp(x*(p + S(2))*sin(a + b*log(c*x**n))**(p + S(2))/(p + S(1)), x) + Simp(x*sin(a + b*log(…
2604 …return Simp(x*sin(a + b*log(c*x**n))/(b**S(2)*n**S(2) + S(1)), x) - Simp(b*n*x*cos(a + b*log(c*x**…
[all …]
H A Dbinomial_products.py109 RectifyCotangent, Inequality, Condition, Simp, SimpHelp, SplitProduct,
1313 return Simp(x*(a + b*x**n)**(p + S(1))/a, x)
1377 return Simp(ArcTan(x*Rt(b, S(2))/Rt(a, S(2)))/(Rt(a, S(2))*Rt(b, S(2))), x)
1385 return Simp(ArcTan(x/Rt(a/b, S(2)))*Rt(a/b, S(2))/a, x)
1397 return Simp(Rt(-a/b, S(2))*atanh(x/Rt(-a/b, S(2)))/a, x)
1446 return Simp(asinh(x*Rt(b, S(2))/sqrt(a))/Rt(b, S(2)), x)
1450 return Simp(asin(x*Rt(-b, S(2))/sqrt(a))/Rt(-b, S(2)), x)
1631 return Simp((c*x)**(m + S(1))*(a + b*x**n)**(p + S(1))/(a*c*(m + S(1))), x)
2142 return Simp(x*(a + b*x**n)**(p + S(1))*(c + d*x**n)**(q + S(1))/(a*c), x)
2150 return Simp(c*x*(a + b*x**n)**(p + S(1))/a, x)
[all …]
H A Dexponential.py109 RectifyCotangent, Inequality, Condition, Simp, SimpHelp, SplitProduct,
471 return Simp(F**(g*(-c*f/d + e))*ExpIntegralEi(f*g*(c + d*x)*log(F)/d)/d, x)
512 return Simp(uu**m*Int(z*(a + b*(F**(g*ExpandToSum(v, x)))**n)**p, x)/z, x)
536 return Simp((F**(c*(a + b*x)))**n/(b*c*n*log(F)), x)
564 return Simp(uu**m*Int(ExpandIntegrand(F**(c*ExpandToSum(v, x))*w*z, x), x)/z, x)
568 return Simp(F**(c*(a + b*x))*e*x*log(d*x)**(n + S(1))/(n + S(1)), x)
576 return Simp(F**(a + b*(c + d*x))/(b*d*log(F)), x)
605 return Simp(F**a*ExpIntegralEi(b*(c + d*x)**n*log(F))/(f*n), x)
710 return Simp(F**(a + b*x + c*x**S(2))*e/(S(2)*c*log(F)), x)
856 return -Dist(m, Int(u*x**(m + S(-1)), x), x) + Simp(u*x**m, x)
[all …]
H A Dtrinomial_products.py109 RectifyCotangent, Inequality, Condition, Simp, SimpHelp, SplitProduct,
1348 return Simp(x*(S(2)*a + b*x**n)*(a + b*x**n + c*x**(S(2)*n))**p/(S(2)*a), x)
1352 …return -Simp(x*(a + b*x**n + c*x**(S(2)*n))**(p + S(1))/(a*(S(2)*p + S(1))), x) + Simp(x*(S(2)*a +…
1364 …return Simp(x*sqrt(a + b*x**n + c*x**(S(2)*n))/(n + S(1)), x) + Simp(b*n*x*sqrt(a + b*x**n + c*x**…
1539 …return Simp(sqrt(a + b*x**n + c*x**(S(2)*n))/n, x) + Simp(b*sqrt(a + b*x**n + c*x**(S(2)*n))*log(x…
1543 …x**n + c*x**(S(2)*n))**(p + S(-1))/x, x), x) + Simp((a + b*x**n + c*x**(S(2)*n))**p/(S(2)*n*p), x)…
1563 …return Simp((d*x)**(m + S(1))*sqrt(a + b*x**n + c*x**(S(2)*n))/(d*(m + n + S(1))), x) + Simp(b*n*(…
1571 …return -Simp((d*x)**(m + S(1))*(S(2)*a + b*x**n)*(a + b*x**n + c*x**(S(2)*n))**p/(S(2)*a*d*n*(S(2)…
2429 return Simp(EllipticPi(-e/(d*q**S(2)), asin(q*x), S(-1))/(sqrt(a)*d*q), x)
2831 …c/(2*q*r), Int((f*x)**m*Simp(d*r - x**(n/2)*(c*d - e*q), x)/(c*x**n + q - r*x**(n/2)), x), x) + Di…
[all …]
H A Dmiscellaneous_algebraic.py1646 return -Simp((f + S(2)*g*x)/(S(2)*b*sqrt(a + b*x**S(4))), x)
1650 return -Simp(x*(S(2)*a*g - b*e*x)/(S(2)*a*b*sqrt(a + b*x**S(4))), x)
1654 return -Simp((f - S(2)*h*x**S(3))/(S(2)*b*sqrt(a + b*x**S(4))), x)
1658 return Simp(h*x**S(3)/(b*sqrt(a + b*x**S(4))), x)
1666 return Simp(x*(a*h*x**S(2) + b*d)/(a*b*sqrt(a + b*x**S(4))), x)
2246 return Simp(d*x*(a + b*x**n + c*x**(S(2)*n))**(p + S(1))/a, x)
2250 return Simp(d*x*(a + b*x**n + c*x**(S(2)*n))**(p + S(1))/a, x)
2343 return Simp(h*x**S(3)/(c*sqrt(a + b*x**S(2) + c*x**S(4))), x)
3316 …return Simp(-S(2)*C**S(2)*atanh(C*(d + S(2)*e*x)/q)/q, x) + Simp(S(2)*C**S(2)*atanh(C*(A*d - S(2)*…
3326 …return Simp(S(2)*C**S(2)*ArcTan((C*d + S(2)*C*e*x)/q)/q, x) - Simp(S(2)*C**S(2)*ArcTan(-C*(-A*d + …
[all …]
/dports/chinese/p5-Encode-CNMap/Encode-CNMap-0.32/
H A DREADME24 printf " -> Simp[GB] %s\n", simp_to_gb( $data );
27 printf " -> Simp[utf8] %s\n", simp_to_simputf8( $data );
32 printf " -> Simp[GB] %s\n", trad_to_gb( $data );
35 printf " -> Simp[utf8] %s\n", trad_to_simputf8( $data );
40 printf " -> Simp[GB] %s\n", utf8_to_gb( $data );
44 printf " -> Simp[utf8] %s\n", utf8_to_simputf8( $data );
/dports/math/reduce/Reduce-svn5758-src/contrib/rubi-red/rubi4/Rubi-Red/
H A DTR1.3 sin^m (A+B sin+C sin^2) (a+b sin)^n.m83 1/b^2*Int[Simp[b*B-a*C+b*C*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^(n+1),x] /;
89 C/b^2*Int[Simp[-a+b*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^(n+1),x] /;
191 C/b^2*Int[Sin[c+d*x]^m*Simp[-a+b*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^(n+1),x] /;
284 Simp[a*(A*(n+1)+(A+C)*(m+1))+(b*A+a*B+(b*A+a*B+b*C)*(m+n+1))*Sin[c+d*x]+
305 Simp[a*B*(m+1)-b*A*n+(a*A+(a*A+a*C+b*B)*(m+1))*Sin[c+d*x]+
338 1/a*Int[Simp[b*A-a*B-a*C*Sin[c+d*x],x]/(a+b*Sin[c+d*x]),x] /;
345 1/a*Int[Simp[b*A-a*C*Sin[c+d*x],x]/(a+b*Sin[c+d*x]),x] /;
359 1/b*Int[Simp[b*A-a*C*Sin[c+d*x],x]/(Sqrt[Sin[c+d*x]]*(a+b*Sin[c+d*x])),x] /;
409 1/b*Int[Simp[A*b-a*C*Sin[c+d*x],x]/(Sin[c+d*x]*Sqrt[a+b*Sin[c+d*x]]),x] /;
437 Int[Simp[A+(B-C)*Sin[c+d*x],x]/(Sin[c+d*x]^(3/2)*Sqrt[a+b*Sin[c+d*x]]),x] /;
[all …]
H A DTR1.2 sin^m (A+B sin) (a+b sin)^n.m75 1/(n+1)*Int[Simp[b*B*n+a*A*(n+1)+(a*B*n+A*b*(n+1))*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^(n-1),x] /;
90 Int[Simp[(a*A-b*B)*(n+1)-(A*b-a*B)*(n+2)*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^(n+1),x] /;
133 1/(m+2)*Int[Sin[c+d*x]^m*Simp[a*A*(m+2)+b*B*(m+1)+(A*b+a*B)*(m+2)*Sin[c+d*x],x],x] /;
140 1/(m+1)*Int[Sin[c+d*x]^(m+1)*Simp[(A*b+a*B)*(m+1)+(a*A*(m+2)+b*B*(m+1))*Sin[c+d*x],x],x] /;
154 1/(b*(n+2))*Int[Simp[b*B*(n+1)-(a*B-A*b*(n+2))*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^n,x] /;
161 1/(a^2*(2*n+1))*Int[Simp[n*(A*b-a*B)+b*B*(2*n+1)*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^(n+1),x] /;
169 Int[Simp[b*(n+1)*(A*b-a*B)+(a^2*B-a*A*b*(n+2)+b^2*B*(n+1))*Sin[c+d*x],x]*
318 Simp[a*(a*A*n+(a*A+b*B)*(m+1))+
330 Simp[a*((A*b+a*B)*(m+1)-A*b*(n-1))+
473 Simp[a*(A*b-a*B)*(m-1)+b*(A*b-a*B)*(n+1)*Sin[c+d*x]-
[all …]
/dports/math/reduce/Reduce-svn5758-src/contrib/rubi-red/
H A DTR1.3 sin^m (A+B sin+C sin^2) (a+b sin)^n.m83 1/b^2*Int[Simp[b*B-a*C+b*C*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^(n+1),x] /;
89 C/b^2*Int[Simp[-a+b*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^(n+1),x] /;
191 C/b^2*Int[Sin[c+d*x]^m*Simp[-a+b*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^(n+1),x] /;
284 Simp[a*(A*(n+1)+(A+C)*(m+1))+(b*A+a*B+(b*A+a*B+b*C)*(m+n+1))*Sin[c+d*x]+
305 Simp[a*B*(m+1)-b*A*n+(a*A+(a*A+a*C+b*B)*(m+1))*Sin[c+d*x]+
338 1/a*Int[Simp[b*A-a*B-a*C*Sin[c+d*x],x]/(a+b*Sin[c+d*x]),x] /;
345 1/a*Int[Simp[b*A-a*C*Sin[c+d*x],x]/(a+b*Sin[c+d*x]),x] /;
359 1/b*Int[Simp[b*A-a*C*Sin[c+d*x],x]/(Sqrt[Sin[c+d*x]]*(a+b*Sin[c+d*x])),x] /;
409 1/b*Int[Simp[A*b-a*C*Sin[c+d*x],x]/(Sin[c+d*x]*Sqrt[a+b*Sin[c+d*x]]),x] /;
437 Int[Simp[A+(B-C)*Sin[c+d*x],x]/(Sin[c+d*x]^(3/2)*Sqrt[a+b*Sin[c+d*x]]),x] /;
[all …]
H A DTR1.2 sin^m (A+B sin) (a+b sin)^n.m75 1/(n+1)*Int[Simp[b*B*n+a*A*(n+1)+(a*B*n+A*b*(n+1))*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^(n-1),x] /;
90 Int[Simp[(a*A-b*B)*(n+1)-(A*b-a*B)*(n+2)*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^(n+1),x] /;
133 1/(m+2)*Int[Sin[c+d*x]^m*Simp[a*A*(m+2)+b*B*(m+1)+(A*b+a*B)*(m+2)*Sin[c+d*x],x],x] /;
140 1/(m+1)*Int[Sin[c+d*x]^(m+1)*Simp[(A*b+a*B)*(m+1)+(a*A*(m+2)+b*B*(m+1))*Sin[c+d*x],x],x] /;
154 1/(b*(n+2))*Int[Simp[b*B*(n+1)-(a*B-A*b*(n+2))*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^n,x] /;
161 1/(a^2*(2*n+1))*Int[Simp[n*(A*b-a*B)+b*B*(2*n+1)*Sin[c+d*x],x]*(a+b*Sin[c+d*x])^(n+1),x] /;
169 Int[Simp[b*(n+1)*(A*b-a*B)+(a^2*B-a*A*b*(n+2)+b^2*B*(n+1))*Sin[c+d*x],x]*
318 Simp[a*(a*A*n+(a*A+b*B)*(m+1))+
330 Simp[a*((A*b+a*B)*(m+1)-A*b*(n-1))+
473 Simp[a*(A*b-a*B)*(m-1)+b*(A*b-a*B)*(n+1)*Sin[c+d*x]-
[all …]
/dports/chinese/fcitx5-chinese-addons/fcitx5-chinese-addons-5.0.8/modules/chttrans/
H A Dchttrans.cpp28 return ChttransIMType::Simp; in inputMethodType()
236 return type == ChttransIMType::Simp ? ChttransIMType::Trad in convertType()
237 : ChttransIMType::Simp; in convertType()
/dports/math/p5-Math-Expr/Math-Expr-0.4/db/Opperations/
H A DRealtal18 Simp: a*inv(b)
25 Simp: a+neg(b)
/dports/chinese/p5-Encode-HanConvert/Encode-HanConvert-0.35/
H A DMANIFEST19 map/b2g_map.utf8 Trad to Simp Map - Not Installed
22 map/g2b_map.utf8 Simp to Trad Map - Not Installed
/dports/editors/calligra/calligra-3.2.1/stage/templates/odf/
H A Dsimple_waves.desktop35 Name[wa]=Simpès waches
70 Comment[wa]=Simpès waches

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