Optimal. Leaf size=300 \[ \frac {\left (12 a^2+b^2\right ) x}{2 b^5}-\frac {a^3 \left (12 a^4-29 a^2 b^2+20 b^4\right ) \text {ArcTan}\left (\frac {\sqrt {a-b} \tan \left (\frac {1}{2} (c+d x)\right )}{\sqrt {a+b}}\right )}{(a-b)^{5/2} b^5 (a+b)^{5/2} d}-\frac {3 a \left (4 a^4-7 a^2 b^2+2 b^4\right ) \sin (c+d x)}{2 b^4 \left (a^2-b^2\right )^2 d}+\frac {\left (6 a^4-10 a^2 b^2+b^4\right ) \cos (c+d x) \sin (c+d x)}{2 b^3 \left (a^2-b^2\right )^2 d}-\frac {a^2 \cos ^3(c+d x) \sin (c+d x)}{2 b \left (a^2-b^2\right ) d (a+b \cos (c+d x))^2}-\frac {a^2 \left (4 a^2-7 b^2\right ) \cos ^2(c+d x) \sin (c+d x)}{2 b^2 \left (a^2-b^2\right )^2 d (a+b \cos (c+d x))} \]
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Rubi [A]
time = 0.54, antiderivative size = 300, normalized size of antiderivative = 1.00, number of steps
used = 7, number of rules used = 7, integrand size = 21, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.333, Rules used = {2871, 3126,
3128, 3102, 2814, 2738, 211} \begin {gather*} -\frac {a^2 \sin (c+d x) \cos ^3(c+d x)}{2 b d \left (a^2-b^2\right ) (a+b \cos (c+d x))^2}-\frac {a^2 \left (4 a^2-7 b^2\right ) \sin (c+d x) \cos ^2(c+d x)}{2 b^2 d \left (a^2-b^2\right )^2 (a+b \cos (c+d x))}+\frac {x \left (12 a^2+b^2\right )}{2 b^5}-\frac {3 a \left (4 a^4-7 a^2 b^2+2 b^4\right ) \sin (c+d x)}{2 b^4 d \left (a^2-b^2\right )^2}+\frac {\left (6 a^4-10 a^2 b^2+b^4\right ) \sin (c+d x) \cos (c+d x)}{2 b^3 d \left (a^2-b^2\right )^2}-\frac {a^3 \left (12 a^4-29 a^2 b^2+20 b^4\right ) \text {ArcTan}\left (\frac {\sqrt {a-b} \tan \left (\frac {1}{2} (c+d x)\right )}{\sqrt {a+b}}\right )}{b^5 d (a-b)^{5/2} (a+b)^{5/2}} \end {gather*}
Antiderivative was successfully verified.
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Rule 211
Rule 2738
Rule 2814
Rule 2871
Rule 3102
Rule 3126
Rule 3128
Rubi steps
\begin {align*} \int \frac {\cos ^5(c+d x)}{(a+b \cos (c+d x))^3} \, dx &=-\frac {a^2 \cos ^3(c+d x) \sin (c+d x)}{2 b \left (a^2-b^2\right ) d (a+b \cos (c+d x))^2}-\frac {\int \frac {\cos ^2(c+d x) \left (3 a^2-2 a b \cos (c+d x)-2 \left (2 a^2-b^2\right ) \cos ^2(c+d x)\right )}{(a+b \cos (c+d x))^2} \, dx}{2 b \left (a^2-b^2\right )}\\ &=-\frac {a^2 \cos ^3(c+d x) \sin (c+d x)}{2 b \left (a^2-b^2\right ) d (a+b \cos (c+d x))^2}-\frac {a^2 \left (4 a^2-7 b^2\right ) \cos ^2(c+d x) \sin (c+d x)}{2 b^2 \left (a^2-b^2\right )^2 d (a+b \cos (c+d x))}+\frac {\int \frac {\cos (c+d x) \left (-2 a^2 \left (4 a^2-7 b^2\right )+a b \left (a^2-4 b^2\right ) \cos (c+d x)+2 \left (6 a^4-10 a^2 b^2+b^4\right ) \cos ^2(c+d x)\right )}{a+b \cos (c+d x)} \, dx}{2 b^2 \left (a^2-b^2\right )^2}\\ &=\frac {\left (6 a^4-10 a^2 b^2+b^4\right ) \cos (c+d x) \sin (c+d x)}{2 b^3 \left (a^2-b^2\right )^2 d}-\frac {a^2 \cos ^3(c+d x) \sin (c+d x)}{2 b \left (a^2-b^2\right ) d (a+b \cos (c+d x))^2}-\frac {a^2 \left (4 a^2-7 b^2\right ) \cos ^2(c+d x) \sin (c+d x)}{2 b^2 \left (a^2-b^2\right )^2 d (a+b \cos (c+d x))}+\frac {\int \frac {2 a \left (6 a^4-10 a^2 b^2+b^4\right )-2 b \left (2 a^4-4 a^2 b^2-b^4\right ) \cos (c+d x)-6 a \left (4 a^4-7 a^2 b^2+2 b^4\right ) \cos ^2(c+d x)}{a+b \cos (c+d x)} \, dx}{4 b^3 \left (a^2-b^2\right )^2}\\ &=-\frac {3 a \left (4 a^4-7 a^2 b^2+2 b^4\right ) \sin (c+d x)}{2 b^4 \left (a^2-b^2\right )^2 d}+\frac {\left (6 a^4-10 a^2 b^2+b^4\right ) \cos (c+d x) \sin (c+d x)}{2 b^3 \left (a^2-b^2\right )^2 d}-\frac {a^2 \cos ^3(c+d x) \sin (c+d x)}{2 b \left (a^2-b^2\right ) d (a+b \cos (c+d x))^2}-\frac {a^2 \left (4 a^2-7 b^2\right ) \cos ^2(c+d x) \sin (c+d x)}{2 b^2 \left (a^2-b^2\right )^2 d (a+b \cos (c+d x))}+\frac {\int \frac {2 a b \left (6 a^4-10 a^2 b^2+b^4\right )+2 \left (a^2-b^2\right )^2 \left (12 a^2+b^2\right ) \cos (c+d x)}{a+b \cos (c+d x)} \, dx}{4 b^4 \left (a^2-b^2\right )^2}\\ &=\frac {\left (12 a^2+b^2\right ) x}{2 b^5}-\frac {3 a \left (4 a^4-7 a^2 b^2+2 b^4\right ) \sin (c+d x)}{2 b^4 \left (a^2-b^2\right )^2 d}+\frac {\left (6 a^4-10 a^2 b^2+b^4\right ) \cos (c+d x) \sin (c+d x)}{2 b^3 \left (a^2-b^2\right )^2 d}-\frac {a^2 \cos ^3(c+d x) \sin (c+d x)}{2 b \left (a^2-b^2\right ) d (a+b \cos (c+d x))^2}-\frac {a^2 \left (4 a^2-7 b^2\right ) \cos ^2(c+d x) \sin (c+d x)}{2 b^2 \left (a^2-b^2\right )^2 d (a+b \cos (c+d x))}-\frac {\left (a^3 \left (12 a^4-29 a^2 b^2+20 b^4\right )\right ) \int \frac {1}{a+b \cos (c+d x)} \, dx}{2 b^5 \left (a^2-b^2\right )^2}\\ &=\frac {\left (12 a^2+b^2\right ) x}{2 b^5}-\frac {3 a \left (4 a^4-7 a^2 b^2+2 b^4\right ) \sin (c+d x)}{2 b^4 \left (a^2-b^2\right )^2 d}+\frac {\left (6 a^4-10 a^2 b^2+b^4\right ) \cos (c+d x) \sin (c+d x)}{2 b^3 \left (a^2-b^2\right )^2 d}-\frac {a^2 \cos ^3(c+d x) \sin (c+d x)}{2 b \left (a^2-b^2\right ) d (a+b \cos (c+d x))^2}-\frac {a^2 \left (4 a^2-7 b^2\right ) \cos ^2(c+d x) \sin (c+d x)}{2 b^2 \left (a^2-b^2\right )^2 d (a+b \cos (c+d x))}-\frac {\left (a^3 \left (12 a^4-29 a^2 b^2+20 b^4\right )\right ) \text {Subst}\left (\int \frac {1}{a+b+(a-b) x^2} \, dx,x,\tan \left (\frac {1}{2} (c+d x)\right )\right )}{b^5 \left (a^2-b^2\right )^2 d}\\ &=\frac {\left (12 a^2+b^2\right ) x}{2 b^5}-\frac {a^3 \left (12 a^4-29 a^2 b^2+20 b^4\right ) \tan ^{-1}\left (\frac {\sqrt {a-b} \tan \left (\frac {1}{2} (c+d x)\right )}{\sqrt {a+b}}\right )}{(a-b)^{5/2} b^5 (a+b)^{5/2} d}-\frac {3 a \left (4 a^4-7 a^2 b^2+2 b^4\right ) \sin (c+d x)}{2 b^4 \left (a^2-b^2\right )^2 d}+\frac {\left (6 a^4-10 a^2 b^2+b^4\right ) \cos (c+d x) \sin (c+d x)}{2 b^3 \left (a^2-b^2\right )^2 d}-\frac {a^2 \cos ^3(c+d x) \sin (c+d x)}{2 b \left (a^2-b^2\right ) d (a+b \cos (c+d x))^2}-\frac {a^2 \left (4 a^2-7 b^2\right ) \cos ^2(c+d x) \sin (c+d x)}{2 b^2 \left (a^2-b^2\right )^2 d (a+b \cos (c+d x))}\\ \end {align*}
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Mathematica [A]
time = 2.06, size = 199, normalized size = 0.66 \begin {gather*} \frac {2 \left (12 a^2+b^2\right ) (c+d x)+\frac {4 a^3 \left (12 a^4-29 a^2 b^2+20 b^4\right ) \tanh ^{-1}\left (\frac {(a-b) \tan \left (\frac {1}{2} (c+d x)\right )}{\sqrt {-a^2+b^2}}\right )}{\left (-a^2+b^2\right )^{5/2}}-12 a b \sin (c+d x)+\frac {2 a^5 b \sin (c+d x)}{(a-b) (a+b) (a+b \cos (c+d x))^2}+\frac {2 a^4 b \left (-7 a^2+10 b^2\right ) \sin (c+d x)}{(a-b)^2 (a+b)^2 (a+b \cos (c+d x))}+b^2 \sin (2 (c+d x))}{4 b^5 d} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.62, size = 306, normalized size = 1.02
method | result | size |
derivativedivides | \(\frac {\frac {\frac {2 \left (\left (-3 a b -\frac {1}{2} b^{2}\right ) \left (\tan ^{3}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )+\left (-3 a b +\frac {1}{2} b^{2}\right ) \tan \left (\frac {d x}{2}+\frac {c}{2}\right )\right )}{\left (1+\tan ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )^{2}}+\left (12 a^{2}+b^{2}\right ) \arctan \left (\tan \left (\frac {d x}{2}+\frac {c}{2}\right )\right )}{b^{5}}-\frac {2 a^{3} \left (\frac {\frac {\left (6 a^{2}-a b -10 b^{2}\right ) a b \left (\tan ^{3}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}{2 \left (a -b \right ) \left (a^{2}+2 a b +b^{2}\right )}+\frac {\left (6 a^{2}+a b -10 b^{2}\right ) a b \tan \left (\frac {d x}{2}+\frac {c}{2}\right )}{2 \left (a +b \right ) \left (a^{2}-2 a b +b^{2}\right )}}{\left (a \left (\tan ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )-b \left (\tan ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )+a +b \right )^{2}}+\frac {\left (12 a^{4}-29 a^{2} b^{2}+20 b^{4}\right ) \arctan \left (\frac {\tan \left (\frac {d x}{2}+\frac {c}{2}\right ) \left (a -b \right )}{\sqrt {\left (a -b \right ) \left (a +b \right )}}\right )}{2 \left (a^{4}-2 a^{2} b^{2}+b^{4}\right ) \sqrt {\left (a -b \right ) \left (a +b \right )}}\right )}{b^{5}}}{d}\) | \(306\) |
default | \(\frac {\frac {\frac {2 \left (\left (-3 a b -\frac {1}{2} b^{2}\right ) \left (\tan ^{3}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )+\left (-3 a b +\frac {1}{2} b^{2}\right ) \tan \left (\frac {d x}{2}+\frac {c}{2}\right )\right )}{\left (1+\tan ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )^{2}}+\left (12 a^{2}+b^{2}\right ) \arctan \left (\tan \left (\frac {d x}{2}+\frac {c}{2}\right )\right )}{b^{5}}-\frac {2 a^{3} \left (\frac {\frac {\left (6 a^{2}-a b -10 b^{2}\right ) a b \left (\tan ^{3}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )}{2 \left (a -b \right ) \left (a^{2}+2 a b +b^{2}\right )}+\frac {\left (6 a^{2}+a b -10 b^{2}\right ) a b \tan \left (\frac {d x}{2}+\frac {c}{2}\right )}{2 \left (a +b \right ) \left (a^{2}-2 a b +b^{2}\right )}}{\left (a \left (\tan ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )-b \left (\tan ^{2}\left (\frac {d x}{2}+\frac {c}{2}\right )\right )+a +b \right )^{2}}+\frac {\left (12 a^{4}-29 a^{2} b^{2}+20 b^{4}\right ) \arctan \left (\frac {\tan \left (\frac {d x}{2}+\frac {c}{2}\right ) \left (a -b \right )}{\sqrt {\left (a -b \right ) \left (a +b \right )}}\right )}{2 \left (a^{4}-2 a^{2} b^{2}+b^{4}\right ) \sqrt {\left (a -b \right ) \left (a +b \right )}}\right )}{b^{5}}}{d}\) | \(306\) |
risch | \(\frac {6 x \,a^{2}}{b^{5}}+\frac {x}{2 b^{3}}-\frac {i {\mathrm e}^{2 i \left (d x +c \right )}}{8 b^{3} d}+\frac {3 i a \,{\mathrm e}^{i \left (d x +c \right )}}{2 b^{4} d}-\frac {3 i a \,{\mathrm e}^{-i \left (d x +c \right )}}{2 b^{4} d}+\frac {i {\mathrm e}^{-2 i \left (d x +c \right )}}{8 b^{3} d}-\frac {i a^{4} \left (8 a^{3} b \,{\mathrm e}^{3 i \left (d x +c \right )}-11 a \,b^{3} {\mathrm e}^{3 i \left (d x +c \right )}+14 a^{4} {\mathrm e}^{2 i \left (d x +c \right )}-13 a^{2} b^{2} {\mathrm e}^{2 i \left (d x +c \right )}-10 b^{4} {\mathrm e}^{2 i \left (d x +c \right )}+20 a^{3} b \,{\mathrm e}^{i \left (d x +c \right )}-29 a \,b^{3} {\mathrm e}^{i \left (d x +c \right )}+7 a^{2} b^{2}-10 b^{4}\right )}{b^{5} \left (a^{2}-b^{2}\right )^{2} d \left (b \,{\mathrm e}^{2 i \left (d x +c \right )}+2 a \,{\mathrm e}^{i \left (d x +c \right )}+b \right )^{2}}-\frac {6 a^{7} \ln \left ({\mathrm e}^{i \left (d x +c \right )}+\frac {-i a^{2}+i b^{2}+a \sqrt {-a^{2}+b^{2}}}{\sqrt {-a^{2}+b^{2}}\, b}\right )}{\sqrt {-a^{2}+b^{2}}\, \left (a +b \right )^{2} \left (a -b \right )^{2} d \,b^{5}}+\frac {29 a^{5} \ln \left ({\mathrm e}^{i \left (d x +c \right )}+\frac {-i a^{2}+i b^{2}+a \sqrt {-a^{2}+b^{2}}}{\sqrt {-a^{2}+b^{2}}\, b}\right )}{2 \sqrt {-a^{2}+b^{2}}\, \left (a +b \right )^{2} \left (a -b \right )^{2} d \,b^{3}}-\frac {10 a^{3} \ln \left ({\mathrm e}^{i \left (d x +c \right )}+\frac {-i a^{2}+i b^{2}+a \sqrt {-a^{2}+b^{2}}}{\sqrt {-a^{2}+b^{2}}\, b}\right )}{\sqrt {-a^{2}+b^{2}}\, \left (a +b \right )^{2} \left (a -b \right )^{2} d b}+\frac {6 a^{7} \ln \left ({\mathrm e}^{i \left (d x +c \right )}+\frac {i a^{2}-i b^{2}+a \sqrt {-a^{2}+b^{2}}}{b \sqrt {-a^{2}+b^{2}}}\right )}{\sqrt {-a^{2}+b^{2}}\, \left (a +b \right )^{2} \left (a -b \right )^{2} d \,b^{5}}-\frac {29 a^{5} \ln \left ({\mathrm e}^{i \left (d x +c \right )}+\frac {i a^{2}-i b^{2}+a \sqrt {-a^{2}+b^{2}}}{b \sqrt {-a^{2}+b^{2}}}\right )}{2 \sqrt {-a^{2}+b^{2}}\, \left (a +b \right )^{2} \left (a -b \right )^{2} d \,b^{3}}+\frac {10 a^{3} \ln \left ({\mathrm e}^{i \left (d x +c \right )}+\frac {i a^{2}-i b^{2}+a \sqrt {-a^{2}+b^{2}}}{b \sqrt {-a^{2}+b^{2}}}\right )}{\sqrt {-a^{2}+b^{2}}\, \left (a +b \right )^{2} \left (a -b \right )^{2} d b}\) | \(776\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [F(-2)]
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Exception raised: ValueError} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.49, size = 1161, normalized size = 3.87 \begin {gather*} \left [\frac {2 \, {\left (12 \, a^{8} b^{2} - 35 \, a^{6} b^{4} + 33 \, a^{4} b^{6} - 9 \, a^{2} b^{8} - b^{10}\right )} d x \cos \left (d x + c\right )^{2} + 4 \, {\left (12 \, a^{9} b - 35 \, a^{7} b^{3} + 33 \, a^{5} b^{5} - 9 \, a^{3} b^{7} - a b^{9}\right )} d x \cos \left (d x + c\right ) + 2 \, {\left (12 \, a^{10} - 35 \, a^{8} b^{2} + 33 \, a^{6} b^{4} - 9 \, a^{4} b^{6} - a^{2} b^{8}\right )} d x - {\left (12 \, a^{9} - 29 \, a^{7} b^{2} + 20 \, a^{5} b^{4} + {\left (12 \, a^{7} b^{2} - 29 \, a^{5} b^{4} + 20 \, a^{3} b^{6}\right )} \cos \left (d x + c\right )^{2} + 2 \, {\left (12 \, a^{8} b - 29 \, a^{6} b^{3} + 20 \, a^{4} b^{5}\right )} \cos \left (d x + c\right )\right )} \sqrt {-a^{2} + b^{2}} \log \left (\frac {2 \, a b \cos \left (d x + c\right ) + {\left (2 \, a^{2} - b^{2}\right )} \cos \left (d x + c\right )^{2} - 2 \, \sqrt {-a^{2} + b^{2}} {\left (a \cos \left (d x + c\right ) + b\right )} \sin \left (d x + c\right ) - a^{2} + 2 \, b^{2}}{b^{2} \cos \left (d x + c\right )^{2} + 2 \, a b \cos \left (d x + c\right ) + a^{2}}\right ) - 2 \, {\left (12 \, a^{9} b - 33 \, a^{7} b^{3} + 27 \, a^{5} b^{5} - 6 \, a^{3} b^{7} - {\left (a^{6} b^{4} - 3 \, a^{4} b^{6} + 3 \, a^{2} b^{8} - b^{10}\right )} \cos \left (d x + c\right )^{3} + 4 \, {\left (a^{7} b^{3} - 3 \, a^{5} b^{5} + 3 \, a^{3} b^{7} - a b^{9}\right )} \cos \left (d x + c\right )^{2} + {\left (18 \, a^{8} b^{2} - 50 \, a^{6} b^{4} + 43 \, a^{4} b^{6} - 11 \, a^{2} b^{8}\right )} \cos \left (d x + c\right )\right )} \sin \left (d x + c\right )}{4 \, {\left ({\left (a^{6} b^{7} - 3 \, a^{4} b^{9} + 3 \, a^{2} b^{11} - b^{13}\right )} d \cos \left (d x + c\right )^{2} + 2 \, {\left (a^{7} b^{6} - 3 \, a^{5} b^{8} + 3 \, a^{3} b^{10} - a b^{12}\right )} d \cos \left (d x + c\right ) + {\left (a^{8} b^{5} - 3 \, a^{6} b^{7} + 3 \, a^{4} b^{9} - a^{2} b^{11}\right )} d\right )}}, \frac {{\left (12 \, a^{8} b^{2} - 35 \, a^{6} b^{4} + 33 \, a^{4} b^{6} - 9 \, a^{2} b^{8} - b^{10}\right )} d x \cos \left (d x + c\right )^{2} + 2 \, {\left (12 \, a^{9} b - 35 \, a^{7} b^{3} + 33 \, a^{5} b^{5} - 9 \, a^{3} b^{7} - a b^{9}\right )} d x \cos \left (d x + c\right ) + {\left (12 \, a^{10} - 35 \, a^{8} b^{2} + 33 \, a^{6} b^{4} - 9 \, a^{4} b^{6} - a^{2} b^{8}\right )} d x - {\left (12 \, a^{9} - 29 \, a^{7} b^{2} + 20 \, a^{5} b^{4} + {\left (12 \, a^{7} b^{2} - 29 \, a^{5} b^{4} + 20 \, a^{3} b^{6}\right )} \cos \left (d x + c\right )^{2} + 2 \, {\left (12 \, a^{8} b - 29 \, a^{6} b^{3} + 20 \, a^{4} b^{5}\right )} \cos \left (d x + c\right )\right )} \sqrt {a^{2} - b^{2}} \arctan \left (-\frac {a \cos \left (d x + c\right ) + b}{\sqrt {a^{2} - b^{2}} \sin \left (d x + c\right )}\right ) - {\left (12 \, a^{9} b - 33 \, a^{7} b^{3} + 27 \, a^{5} b^{5} - 6 \, a^{3} b^{7} - {\left (a^{6} b^{4} - 3 \, a^{4} b^{6} + 3 \, a^{2} b^{8} - b^{10}\right )} \cos \left (d x + c\right )^{3} + 4 \, {\left (a^{7} b^{3} - 3 \, a^{5} b^{5} + 3 \, a^{3} b^{7} - a b^{9}\right )} \cos \left (d x + c\right )^{2} + {\left (18 \, a^{8} b^{2} - 50 \, a^{6} b^{4} + 43 \, a^{4} b^{6} - 11 \, a^{2} b^{8}\right )} \cos \left (d x + c\right )\right )} \sin \left (d x + c\right )}{2 \, {\left ({\left (a^{6} b^{7} - 3 \, a^{4} b^{9} + 3 \, a^{2} b^{11} - b^{13}\right )} d \cos \left (d x + c\right )^{2} + 2 \, {\left (a^{7} b^{6} - 3 \, a^{5} b^{8} + 3 \, a^{3} b^{10} - a b^{12}\right )} d \cos \left (d x + c\right ) + {\left (a^{8} b^{5} - 3 \, a^{6} b^{7} + 3 \, a^{4} b^{9} - a^{2} b^{11}\right )} d\right )}}\right ] \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [F(-1)] Timed out
time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \text {Timed out} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [B] Leaf count of result is larger than twice the leaf count of optimal. 1735 vs.
\(2 (281) = 562\).
time = 0.62, size = 1735, normalized size = 5.78 \begin {gather*} \text {Too large to display} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 8.67, size = 2500, normalized size = 8.33 \begin {gather*} \text {Too large to display} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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