Optimal. Leaf size=376 \[ -\frac {\left (5 a^2 d^2+14 a b c d+21 b^2 c^2\right ) (b c-a d)^4 \tanh ^{-1}\left (\frac {\sqrt {d} \sqrt {a+b x}}{\sqrt {b} \sqrt {c+d x}}\right )}{512 b^{7/2} d^{11/2}}+\frac {(a+b x)^{7/2} \sqrt {c+d x} \left (5 a^2 d^2+14 a b c d+21 b^2 c^2\right )}{160 b^3 d^2}+\frac {\sqrt {a+b x} \sqrt {c+d x} \left (5 a^2 d^2+14 a b c d+21 b^2 c^2\right ) (b c-a d)^3}{512 b^3 d^5}-\frac {(a+b x)^{3/2} \sqrt {c+d x} \left (5 a^2 d^2+14 a b c d+21 b^2 c^2\right ) (b c-a d)^2}{768 b^3 d^4}+\frac {(a+b x)^{5/2} \sqrt {c+d x} \left (5 a^2 d^2+14 a b c d+21 b^2 c^2\right ) (b c-a d)}{960 b^3 d^3}-\frac {(a+b x)^{7/2} (c+d x)^{3/2} (5 a d+9 b c)}{60 b^2 d^2}+\frac {x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d} \]
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Rubi [A] time = 0.38, antiderivative size = 376, normalized size of antiderivative = 1.00, number of steps used = 9, number of rules used = 6, integrand size = 22, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.273, Rules used = {90, 80, 50, 63, 217, 206} \begin {gather*} \frac {\sqrt {a+b x} \sqrt {c+d x} \left (5 a^2 d^2+14 a b c d+21 b^2 c^2\right ) (b c-a d)^3}{512 b^3 d^5}-\frac {(a+b x)^{3/2} \sqrt {c+d x} \left (5 a^2 d^2+14 a b c d+21 b^2 c^2\right ) (b c-a d)^2}{768 b^3 d^4}+\frac {(a+b x)^{5/2} \sqrt {c+d x} \left (5 a^2 d^2+14 a b c d+21 b^2 c^2\right ) (b c-a d)}{960 b^3 d^3}+\frac {(a+b x)^{7/2} \sqrt {c+d x} \left (5 a^2 d^2+14 a b c d+21 b^2 c^2\right )}{160 b^3 d^2}-\frac {\left (5 a^2 d^2+14 a b c d+21 b^2 c^2\right ) (b c-a d)^4 \tanh ^{-1}\left (\frac {\sqrt {d} \sqrt {a+b x}}{\sqrt {b} \sqrt {c+d x}}\right )}{512 b^{7/2} d^{11/2}}-\frac {(a+b x)^{7/2} (c+d x)^{3/2} (5 a d+9 b c)}{60 b^2 d^2}+\frac {x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d} \end {gather*}
Antiderivative was successfully verified.
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Rule 50
Rule 63
Rule 80
Rule 90
Rule 206
Rule 217
Rubi steps
\begin {align*} \int x^2 (a+b x)^{5/2} \sqrt {c+d x} \, dx &=\frac {x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d}+\frac {\int (a+b x)^{5/2} \sqrt {c+d x} \left (-a c-\frac {1}{2} (9 b c+5 a d) x\right ) \, dx}{6 b d}\\ &=-\frac {(9 b c+5 a d) (a+b x)^{7/2} (c+d x)^{3/2}}{60 b^2 d^2}+\frac {x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d}+\frac {\left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) \int (a+b x)^{5/2} \sqrt {c+d x} \, dx}{40 b^2 d^2}\\ &=\frac {\left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{7/2} \sqrt {c+d x}}{160 b^3 d^2}-\frac {(9 b c+5 a d) (a+b x)^{7/2} (c+d x)^{3/2}}{60 b^2 d^2}+\frac {x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d}+\frac {\left ((b c-a d) \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right )\right ) \int \frac {(a+b x)^{5/2}}{\sqrt {c+d x}} \, dx}{320 b^3 d^2}\\ &=\frac {(b c-a d) \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{5/2} \sqrt {c+d x}}{960 b^3 d^3}+\frac {\left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{7/2} \sqrt {c+d x}}{160 b^3 d^2}-\frac {(9 b c+5 a d) (a+b x)^{7/2} (c+d x)^{3/2}}{60 b^2 d^2}+\frac {x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d}-\frac {\left ((b c-a d)^2 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right )\right ) \int \frac {(a+b x)^{3/2}}{\sqrt {c+d x}} \, dx}{384 b^3 d^3}\\ &=-\frac {(b c-a d)^2 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{3/2} \sqrt {c+d x}}{768 b^3 d^4}+\frac {(b c-a d) \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{5/2} \sqrt {c+d x}}{960 b^3 d^3}+\frac {\left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{7/2} \sqrt {c+d x}}{160 b^3 d^2}-\frac {(9 b c+5 a d) (a+b x)^{7/2} (c+d x)^{3/2}}{60 b^2 d^2}+\frac {x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d}+\frac {\left ((b c-a d)^3 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right )\right ) \int \frac {\sqrt {a+b x}}{\sqrt {c+d x}} \, dx}{512 b^3 d^4}\\ &=\frac {(b c-a d)^3 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) \sqrt {a+b x} \sqrt {c+d x}}{512 b^3 d^5}-\frac {(b c-a d)^2 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{3/2} \sqrt {c+d x}}{768 b^3 d^4}+\frac {(b c-a d) \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{5/2} \sqrt {c+d x}}{960 b^3 d^3}+\frac {\left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{7/2} \sqrt {c+d x}}{160 b^3 d^2}-\frac {(9 b c+5 a d) (a+b x)^{7/2} (c+d x)^{3/2}}{60 b^2 d^2}+\frac {x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d}-\frac {\left ((b c-a d)^4 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right )\right ) \int \frac {1}{\sqrt {a+b x} \sqrt {c+d x}} \, dx}{1024 b^3 d^5}\\ &=\frac {(b c-a d)^3 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) \sqrt {a+b x} \sqrt {c+d x}}{512 b^3 d^5}-\frac {(b c-a d)^2 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{3/2} \sqrt {c+d x}}{768 b^3 d^4}+\frac {(b c-a d) \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{5/2} \sqrt {c+d x}}{960 b^3 d^3}+\frac {\left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{7/2} \sqrt {c+d x}}{160 b^3 d^2}-\frac {(9 b c+5 a d) (a+b x)^{7/2} (c+d x)^{3/2}}{60 b^2 d^2}+\frac {x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d}-\frac {\left ((b c-a d)^4 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right )\right ) \operatorname {Subst}\left (\int \frac {1}{\sqrt {c-\frac {a d}{b}+\frac {d x^2}{b}}} \, dx,x,\sqrt {a+b x}\right )}{512 b^4 d^5}\\ &=\frac {(b c-a d)^3 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) \sqrt {a+b x} \sqrt {c+d x}}{512 b^3 d^5}-\frac {(b c-a d)^2 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{3/2} \sqrt {c+d x}}{768 b^3 d^4}+\frac {(b c-a d) \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{5/2} \sqrt {c+d x}}{960 b^3 d^3}+\frac {\left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{7/2} \sqrt {c+d x}}{160 b^3 d^2}-\frac {(9 b c+5 a d) (a+b x)^{7/2} (c+d x)^{3/2}}{60 b^2 d^2}+\frac {x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d}-\frac {\left ((b c-a d)^4 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right )\right ) \operatorname {Subst}\left (\int \frac {1}{1-\frac {d x^2}{b}} \, dx,x,\frac {\sqrt {a+b x}}{\sqrt {c+d x}}\right )}{512 b^4 d^5}\\ &=\frac {(b c-a d)^3 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) \sqrt {a+b x} \sqrt {c+d x}}{512 b^3 d^5}-\frac {(b c-a d)^2 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{3/2} \sqrt {c+d x}}{768 b^3 d^4}+\frac {(b c-a d) \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{5/2} \sqrt {c+d x}}{960 b^3 d^3}+\frac {\left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) (a+b x)^{7/2} \sqrt {c+d x}}{160 b^3 d^2}-\frac {(9 b c+5 a d) (a+b x)^{7/2} (c+d x)^{3/2}}{60 b^2 d^2}+\frac {x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d}-\frac {(b c-a d)^4 \left (21 b^2 c^2+14 a b c d+5 a^2 d^2\right ) \tanh ^{-1}\left (\frac {\sqrt {d} \sqrt {a+b x}}{\sqrt {b} \sqrt {c+d x}}\right )}{512 b^{7/2} d^{11/2}}\\ \end {align*}
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Mathematica [A] time = 2.03, size = 227, normalized size = 0.60 \begin {gather*} \frac {(a+b x)^{7/2} (c+d x)^{3/2} \left (\frac {7 \left (5 a^2 d^2+14 a b c d+21 b^2 c^2\right ) \left (-\frac {15 (b c-a d)^{7/2} \sinh ^{-1}\left (\frac {\sqrt {d} \sqrt {a+b x}}{\sqrt {b c-a d}}\right )}{d^{7/2} (a+b x)^{7/2} \sqrt {\frac {b (c+d x)}{b c-a d}}}+\frac {15 (b c-a d)^3}{d^3 (a+b x)^3}-\frac {10 (b c-a d)^2}{d^2 (a+b x)^2}+\frac {8 b c-8 a d}{a d+b d x}+48\right )}{128 b^2 d (c+d x)}-\frac {35 a}{b}-\frac {63 c}{d}+70 x\right )}{420 b d} \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [A] time = 0.87, size = 519, normalized size = 1.38 \begin {gather*} \frac {\sqrt {c+d x} (b c-a d)^4 \left (\frac {75 a^2 b^5 d^2 (c+d x)^5}{(a+b x)^5}-\frac {425 a^2 b^4 d^3 (c+d x)^4}{(a+b x)^4}+\frac {990 a^2 b^3 d^4 (c+d x)^3}{(a+b x)^3}+\frac {990 a^2 b^2 d^5 (c+d x)^2}{(a+b x)^2}-\frac {425 a^2 b d^6 (c+d x)}{a+b x}+75 a^2 d^7+\frac {315 b^7 c^2 (c+d x)^5}{(a+b x)^5}-\frac {1785 b^6 c^2 d (c+d x)^4}{(a+b x)^4}+\frac {210 a b^6 c d (c+d x)^5}{(a+b x)^5}+\frac {4158 b^5 c^2 d^2 (c+d x)^3}{(a+b x)^3}-\frac {1190 a b^5 c d^2 (c+d x)^4}{(a+b x)^4}-\frac {5058 b^4 c^2 d^3 (c+d x)^2}{(a+b x)^2}+\frac {2772 a b^4 c d^3 (c+d x)^3}{(a+b x)^3}+\frac {3335 b^3 c^2 d^4 (c+d x)}{a+b x}-\frac {3372 a b^3 c d^4 (c+d x)^2}{(a+b x)^2}-\frac {1190 a b^2 c d^5 (c+d x)}{a+b x}+210 a b c d^6+315 b^2 c^2 d^5\right )}{7680 b^3 d^5 \sqrt {a+b x} \left (\frac {b (c+d x)}{a+b x}-d\right )^6}-\frac {(b c-a d)^4 \left (5 a^2 d^2+14 a b c d+21 b^2 c^2\right ) \tanh ^{-1}\left (\frac {\sqrt {b} \sqrt {c+d x}}{\sqrt {d} \sqrt {a+b x}}\right )}{512 b^{7/2} d^{11/2}} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.21, size = 892, normalized size = 2.37 \begin {gather*} \left [\frac {15 \, {\left (21 \, b^{6} c^{6} - 70 \, a b^{5} c^{5} d + 75 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} - 5 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + 5 \, a^{6} d^{6}\right )} \sqrt {b d} \log \left (8 \, b^{2} d^{2} x^{2} + b^{2} c^{2} + 6 \, a b c d + a^{2} d^{2} - 4 \, {\left (2 \, b d x + b c + a d\right )} \sqrt {b d} \sqrt {b x + a} \sqrt {d x + c} + 8 \, {\left (b^{2} c d + a b d^{2}\right )} x\right ) + 4 \, {\left (1280 \, b^{6} d^{6} x^{5} + 315 \, b^{6} c^{5} d - 945 \, a b^{5} c^{4} d^{2} + 838 \, a^{2} b^{4} c^{3} d^{3} - 90 \, a^{3} b^{3} c^{2} d^{4} - 65 \, a^{4} b^{2} c d^{5} + 75 \, a^{5} b d^{6} + 128 \, {\left (b^{6} c d^{5} + 25 \, a b^{5} d^{6}\right )} x^{4} - 16 \, {\left (9 \, b^{6} c^{2} d^{4} - 26 \, a b^{5} c d^{5} - 135 \, a^{2} b^{4} d^{6}\right )} x^{3} + 8 \, {\left (21 \, b^{6} c^{3} d^{3} - 61 \, a b^{5} c^{2} d^{4} + 51 \, a^{2} b^{4} c d^{5} + 5 \, a^{3} b^{3} d^{6}\right )} x^{2} - 2 \, {\left (105 \, b^{6} c^{4} d^{2} - 308 \, a b^{5} c^{3} d^{3} + 262 \, a^{2} b^{4} c^{2} d^{4} - 20 \, a^{3} b^{3} c d^{5} + 25 \, a^{4} b^{2} d^{6}\right )} x\right )} \sqrt {b x + a} \sqrt {d x + c}}{30720 \, b^{4} d^{6}}, \frac {15 \, {\left (21 \, b^{6} c^{6} - 70 \, a b^{5} c^{5} d + 75 \, a^{2} b^{4} c^{4} d^{2} - 20 \, a^{3} b^{3} c^{3} d^{3} - 5 \, a^{4} b^{2} c^{2} d^{4} - 6 \, a^{5} b c d^{5} + 5 \, a^{6} d^{6}\right )} \sqrt {-b d} \arctan \left (\frac {{\left (2 \, b d x + b c + a d\right )} \sqrt {-b d} \sqrt {b x + a} \sqrt {d x + c}}{2 \, {\left (b^{2} d^{2} x^{2} + a b c d + {\left (b^{2} c d + a b d^{2}\right )} x\right )}}\right ) + 2 \, {\left (1280 \, b^{6} d^{6} x^{5} + 315 \, b^{6} c^{5} d - 945 \, a b^{5} c^{4} d^{2} + 838 \, a^{2} b^{4} c^{3} d^{3} - 90 \, a^{3} b^{3} c^{2} d^{4} - 65 \, a^{4} b^{2} c d^{5} + 75 \, a^{5} b d^{6} + 128 \, {\left (b^{6} c d^{5} + 25 \, a b^{5} d^{6}\right )} x^{4} - 16 \, {\left (9 \, b^{6} c^{2} d^{4} - 26 \, a b^{5} c d^{5} - 135 \, a^{2} b^{4} d^{6}\right )} x^{3} + 8 \, {\left (21 \, b^{6} c^{3} d^{3} - 61 \, a b^{5} c^{2} d^{4} + 51 \, a^{2} b^{4} c d^{5} + 5 \, a^{3} b^{3} d^{6}\right )} x^{2} - 2 \, {\left (105 \, b^{6} c^{4} d^{2} - 308 \, a b^{5} c^{3} d^{3} + 262 \, a^{2} b^{4} c^{2} d^{4} - 20 \, a^{3} b^{3} c d^{5} + 25 \, a^{4} b^{2} d^{6}\right )} x\right )} \sqrt {b x + a} \sqrt {d x + c}}{15360 \, b^{4} d^{6}}\right ] \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [B] time = 2.58, size = 1361, normalized size = 3.62
result too large to display
Verification of antiderivative is not currently implemented for this CAS.
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maple [B] time = 0.02, size = 1240, normalized size = 3.30 \begin {gather*} -\frac {\sqrt {b x +a}\, \sqrt {d x +c}\, \left (-2560 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, b^{5} d^{5} x^{5}-6400 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} d^{5} x^{4}-256 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, b^{5} c \,d^{4} x^{4}+75 a^{6} d^{6} \ln \left (\frac {2 b d x +a d +b c +2 \sqrt {b d \,x^{2}+a d x +b c x +a c}\, \sqrt {b d}}{2 \sqrt {b d}}\right )-90 a^{5} b c \,d^{5} \ln \left (\frac {2 b d x +a d +b c +2 \sqrt {b d \,x^{2}+a d x +b c x +a c}\, \sqrt {b d}}{2 \sqrt {b d}}\right )-75 a^{4} b^{2} c^{2} d^{4} \ln \left (\frac {2 b d x +a d +b c +2 \sqrt {b d \,x^{2}+a d x +b c x +a c}\, \sqrt {b d}}{2 \sqrt {b d}}\right )-300 a^{3} b^{3} c^{3} d^{3} \ln \left (\frac {2 b d x +a d +b c +2 \sqrt {b d \,x^{2}+a d x +b c x +a c}\, \sqrt {b d}}{2 \sqrt {b d}}\right )+1125 a^{2} b^{4} c^{4} d^{2} \ln \left (\frac {2 b d x +a d +b c +2 \sqrt {b d \,x^{2}+a d x +b c x +a c}\, \sqrt {b d}}{2 \sqrt {b d}}\right )-4320 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} d^{5} x^{3}-1050 a \,b^{5} c^{5} d \ln \left (\frac {2 b d x +a d +b c +2 \sqrt {b d \,x^{2}+a d x +b c x +a c}\, \sqrt {b d}}{2 \sqrt {b d}}\right )-832 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c \,d^{4} x^{3}+315 b^{6} c^{6} \ln \left (\frac {2 b d x +a d +b c +2 \sqrt {b d \,x^{2}+a d x +b c x +a c}\, \sqrt {b d}}{2 \sqrt {b d}}\right )+288 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{2} d^{3} x^{3}-80 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} d^{5} x^{2}-816 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c \,d^{4} x^{2}+976 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{2} d^{3} x^{2}-336 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{3} d^{2} x^{2}+100 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a^{4} b \,d^{5} x -80 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c \,d^{4} x +1048 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{2} d^{3} x -1232 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{3} d^{2} x +420 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{4} d x -150 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a^{5} d^{5}+130 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a^{4} b c \,d^{4}+180 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a^{3} b^{2} c^{2} d^{3}-1676 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a^{2} b^{3} c^{3} d^{2}+1890 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, a \,b^{4} c^{4} d -630 \sqrt {b d}\, \sqrt {b d \,x^{2}+a d x +b c x +a c}\, b^{5} c^{5}\right )}{15360 \sqrt {b d \,x^{2}+a d x +b c x +a c}\, \sqrt {b d}\, b^{3} d^{5}} \end {gather*}
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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mupad [F] time = 0.00, size = -1, normalized size = -0.00 \begin {gather*} \int x^2\,{\left (a+b\,x\right )}^{5/2}\,\sqrt {c+d\,x} \,d x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [F(-1)] 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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