Optimal. Leaf size=306 \[ -\frac {2 b^5 (d+e x)^{13/2} (-6 a B e-A b e+7 b B d)}{13 e^8}+\frac {6 b^4 (d+e x)^{11/2} (b d-a e) (-5 a B e-2 A b e+7 b B d)}{11 e^8}-\frac {10 b^3 (d+e x)^{9/2} (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{9 e^8}+\frac {10 b^2 (d+e x)^{7/2} (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{7 e^8}-\frac {6 b (d+e x)^{5/2} (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{5 e^8}+\frac {2 (d+e x)^{3/2} (b d-a e)^5 (-a B e-6 A b e+7 b B d)}{3 e^8}-\frac {2 \sqrt {d+e x} (b d-a e)^6 (B d-A e)}{e^8}+\frac {2 b^6 B (d+e x)^{15/2}}{15 e^8} \]
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Rubi [A] time = 0.15, antiderivative size = 306, normalized size of antiderivative = 1.00, number of steps used = 3, number of rules used = 2, integrand size = 33, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.061, Rules used = {27, 77} \begin {gather*} -\frac {2 b^5 (d+e x)^{13/2} (-6 a B e-A b e+7 b B d)}{13 e^8}+\frac {6 b^4 (d+e x)^{11/2} (b d-a e) (-5 a B e-2 A b e+7 b B d)}{11 e^8}-\frac {10 b^3 (d+e x)^{9/2} (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{9 e^8}+\frac {10 b^2 (d+e x)^{7/2} (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{7 e^8}-\frac {6 b (d+e x)^{5/2} (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{5 e^8}+\frac {2 (d+e x)^{3/2} (b d-a e)^5 (-a B e-6 A b e+7 b B d)}{3 e^8}-\frac {2 \sqrt {d+e x} (b d-a e)^6 (B d-A e)}{e^8}+\frac {2 b^6 B (d+e x)^{15/2}}{15 e^8} \end {gather*}
Antiderivative was successfully verified.
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Rule 27
Rule 77
Rubi steps
\begin {align*} \int \frac {(A+B x) \left (a^2+2 a b x+b^2 x^2\right )^3}{\sqrt {d+e x}} \, dx &=\int \frac {(a+b x)^6 (A+B x)}{\sqrt {d+e x}} \, dx\\ &=\int \left (\frac {(-b d+a e)^6 (-B d+A e)}{e^7 \sqrt {d+e x}}+\frac {(-b d+a e)^5 (-7 b B d+6 A b e+a B e) \sqrt {d+e x}}{e^7}+\frac {3 b (b d-a e)^4 (-7 b B d+5 A b e+2 a B e) (d+e x)^{3/2}}{e^7}-\frac {5 b^2 (b d-a e)^3 (-7 b B d+4 A b e+3 a B e) (d+e x)^{5/2}}{e^7}+\frac {5 b^3 (b d-a e)^2 (-7 b B d+3 A b e+4 a B e) (d+e x)^{7/2}}{e^7}-\frac {3 b^4 (b d-a e) (-7 b B d+2 A b e+5 a B e) (d+e x)^{9/2}}{e^7}+\frac {b^5 (-7 b B d+A b e+6 a B e) (d+e x)^{11/2}}{e^7}+\frac {b^6 B (d+e x)^{13/2}}{e^7}\right ) \, dx\\ &=-\frac {2 (b d-a e)^6 (B d-A e) \sqrt {d+e x}}{e^8}+\frac {2 (b d-a e)^5 (7 b B d-6 A b e-a B e) (d+e x)^{3/2}}{3 e^8}-\frac {6 b (b d-a e)^4 (7 b B d-5 A b e-2 a B e) (d+e x)^{5/2}}{5 e^8}+\frac {10 b^2 (b d-a e)^3 (7 b B d-4 A b e-3 a B e) (d+e x)^{7/2}}{7 e^8}-\frac {10 b^3 (b d-a e)^2 (7 b B d-3 A b e-4 a B e) (d+e x)^{9/2}}{9 e^8}+\frac {6 b^4 (b d-a e) (7 b B d-2 A b e-5 a B e) (d+e x)^{11/2}}{11 e^8}-\frac {2 b^5 (7 b B d-A b e-6 a B e) (d+e x)^{13/2}}{13 e^8}+\frac {2 b^6 B (d+e x)^{15/2}}{15 e^8}\\ \end {align*}
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Mathematica [A] time = 0.20, size = 259, normalized size = 0.85 \begin {gather*} \frac {2 \sqrt {d+e x} \left (-3465 b^5 (d+e x)^6 (-6 a B e-A b e+7 b B d)+12285 b^4 (d+e x)^5 (b d-a e) (-5 a B e-2 A b e+7 b B d)-25025 b^3 (d+e x)^4 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)+32175 b^2 (d+e x)^3 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)-27027 b (d+e x)^2 (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)+15015 (d+e x) (b d-a e)^5 (-a B e-6 A b e+7 b B d)-45045 (b d-a e)^6 (B d-A e)+3003 b^6 B (d+e x)^7\right )}{45045 e^8} \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [B] time = 0.41, size = 1310, normalized size = 4.28 \begin {gather*} -\frac {2 \left (-3003 b^6 B (d+e x)^{15/2}+24255 b^6 B d (d+e x)^{13/2}-3465 A b^6 e (d+e x)^{13/2}-20790 a b^5 B e (d+e x)^{13/2}-85995 b^6 B d^2 (d+e x)^{11/2}-24570 a A b^5 e^2 (d+e x)^{11/2}-61425 a^2 b^4 B e^2 (d+e x)^{11/2}+24570 A b^6 d e (d+e x)^{11/2}+147420 a b^5 B d e (d+e x)^{11/2}+175175 b^6 B d^3 (d+e x)^{9/2}-75075 a^2 A b^4 e^3 (d+e x)^{9/2}-100100 a^3 b^3 B e^3 (d+e x)^{9/2}+150150 a A b^5 d e^2 (d+e x)^{9/2}+375375 a^2 b^4 B d e^2 (d+e x)^{9/2}-75075 A b^6 d^2 e (d+e x)^{9/2}-450450 a b^5 B d^2 e (d+e x)^{9/2}-225225 b^6 B d^4 (d+e x)^{7/2}-128700 a^3 A b^3 e^4 (d+e x)^{7/2}-96525 a^4 b^2 B e^4 (d+e x)^{7/2}+386100 a^2 A b^4 d e^3 (d+e x)^{7/2}+514800 a^3 b^3 B d e^3 (d+e x)^{7/2}-386100 a A b^5 d^2 e^2 (d+e x)^{7/2}-965250 a^2 b^4 B d^2 e^2 (d+e x)^{7/2}+128700 A b^6 d^3 e (d+e x)^{7/2}+772200 a b^5 B d^3 e (d+e x)^{7/2}+189189 b^6 B d^5 (d+e x)^{5/2}-135135 a^4 A b^2 e^5 (d+e x)^{5/2}-54054 a^5 b B e^5 (d+e x)^{5/2}+540540 a^3 A b^3 d e^4 (d+e x)^{5/2}+405405 a^4 b^2 B d e^4 (d+e x)^{5/2}-810810 a^2 A b^4 d^2 e^3 (d+e x)^{5/2}-1081080 a^3 b^3 B d^2 e^3 (d+e x)^{5/2}+540540 a A b^5 d^3 e^2 (d+e x)^{5/2}+1351350 a^2 b^4 B d^3 e^2 (d+e x)^{5/2}-135135 A b^6 d^4 e (d+e x)^{5/2}-810810 a b^5 B d^4 e (d+e x)^{5/2}-105105 b^6 B d^6 (d+e x)^{3/2}-90090 a^5 A b e^6 (d+e x)^{3/2}-15015 a^6 B e^6 (d+e x)^{3/2}+450450 a^4 A b^2 d e^5 (d+e x)^{3/2}+180180 a^5 b B d e^5 (d+e x)^{3/2}-900900 a^3 A b^3 d^2 e^4 (d+e x)^{3/2}-675675 a^4 b^2 B d^2 e^4 (d+e x)^{3/2}+900900 a^2 A b^4 d^3 e^3 (d+e x)^{3/2}+1201200 a^3 b^3 B d^3 e^3 (d+e x)^{3/2}-450450 a A b^5 d^4 e^2 (d+e x)^{3/2}-1126125 a^2 b^4 B d^4 e^2 (d+e x)^{3/2}+90090 A b^6 d^5 e (d+e x)^{3/2}+540540 a b^5 B d^5 e (d+e x)^{3/2}+45045 b^6 B d^7 \sqrt {d+e x}-45045 a^6 A e^7 \sqrt {d+e x}+270270 a^5 A b d e^6 \sqrt {d+e x}+45045 a^6 B d e^6 \sqrt {d+e x}-675675 a^4 A b^2 d^2 e^5 \sqrt {d+e x}-270270 a^5 b B d^2 e^5 \sqrt {d+e x}+900900 a^3 A b^3 d^3 e^4 \sqrt {d+e x}+675675 a^4 b^2 B d^3 e^4 \sqrt {d+e x}-675675 a^2 A b^4 d^4 e^3 \sqrt {d+e x}-900900 a^3 b^3 B d^4 e^3 \sqrt {d+e x}+270270 a A b^5 d^5 e^2 \sqrt {d+e x}+675675 a^2 b^4 B d^5 e^2 \sqrt {d+e x}-45045 A b^6 d^6 e \sqrt {d+e x}-270270 a b^5 B d^6 e \sqrt {d+e x}\right )}{45045 e^8} \end {gather*}
Antiderivative was successfully verified.
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fricas [B] time = 0.48, size = 769, normalized size = 2.51 \begin {gather*} \frac {2 \, {\left (3003 \, B b^{6} e^{7} x^{7} - 14336 \, B b^{6} d^{7} + 45045 \, A a^{6} e^{7} + 15360 \, {\left (6 \, B a b^{5} + A b^{6}\right )} d^{6} e - 49920 \, {\left (5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right )} d^{5} e^{2} + 91520 \, {\left (4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right )} d^{4} e^{3} - 102960 \, {\left (3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right )} d^{3} e^{4} + 72072 \, {\left (2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right )} d^{2} e^{5} - 30030 \, {\left (B a^{6} + 6 \, A a^{5} b\right )} d e^{6} - 231 \, {\left (14 \, B b^{6} d e^{6} - 15 \, {\left (6 \, B a b^{5} + A b^{6}\right )} e^{7}\right )} x^{6} + 63 \, {\left (56 \, B b^{6} d^{2} e^{5} - 60 \, {\left (6 \, B a b^{5} + A b^{6}\right )} d e^{6} + 195 \, {\left (5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right )} e^{7}\right )} x^{5} - 35 \, {\left (112 \, B b^{6} d^{3} e^{4} - 120 \, {\left (6 \, B a b^{5} + A b^{6}\right )} d^{2} e^{5} + 390 \, {\left (5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right )} d e^{6} - 715 \, {\left (4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right )} e^{7}\right )} x^{4} + 5 \, {\left (896 \, B b^{6} d^{4} e^{3} - 960 \, {\left (6 \, B a b^{5} + A b^{6}\right )} d^{3} e^{4} + 3120 \, {\left (5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right )} d^{2} e^{5} - 5720 \, {\left (4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right )} d e^{6} + 6435 \, {\left (3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right )} e^{7}\right )} x^{3} - 3 \, {\left (1792 \, B b^{6} d^{5} e^{2} - 1920 \, {\left (6 \, B a b^{5} + A b^{6}\right )} d^{4} e^{3} + 6240 \, {\left (5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right )} d^{3} e^{4} - 11440 \, {\left (4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right )} d^{2} e^{5} + 12870 \, {\left (3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right )} d e^{6} - 9009 \, {\left (2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right )} e^{7}\right )} x^{2} + {\left (7168 \, B b^{6} d^{6} e - 7680 \, {\left (6 \, B a b^{5} + A b^{6}\right )} d^{5} e^{2} + 24960 \, {\left (5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right )} d^{4} e^{3} - 45760 \, {\left (4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right )} d^{3} e^{4} + 51480 \, {\left (3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right )} d^{2} e^{5} - 36036 \, {\left (2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right )} d e^{6} + 15015 \, {\left (B a^{6} + 6 \, A a^{5} b\right )} e^{7}\right )} x\right )} \sqrt {e x + d}}{45045 \, e^{8}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [B] time = 0.24, size = 895, normalized size = 2.92
result too large to display
Verification of antiderivative is not currently implemented for this CAS.
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maple [B] time = 0.06, size = 913, normalized size = 2.98 \begin {gather*} \frac {2 \left (3003 B \,b^{6} x^{7} e^{7}+3465 A \,b^{6} e^{7} x^{6}+20790 B a \,b^{5} e^{7} x^{6}-3234 B \,b^{6} d \,e^{6} x^{6}+24570 A a \,b^{5} e^{7} x^{5}-3780 A \,b^{6} d \,e^{6} x^{5}+61425 B \,a^{2} b^{4} e^{7} x^{5}-22680 B a \,b^{5} d \,e^{6} x^{5}+3528 B \,b^{6} d^{2} e^{5} x^{5}+75075 A \,a^{2} b^{4} e^{7} x^{4}-27300 A a \,b^{5} d \,e^{6} x^{4}+4200 A \,b^{6} d^{2} e^{5} x^{4}+100100 B \,a^{3} b^{3} e^{7} x^{4}-68250 B \,a^{2} b^{4} d \,e^{6} x^{4}+25200 B a \,b^{5} d^{2} e^{5} x^{4}-3920 B \,b^{6} d^{3} e^{4} x^{4}+128700 A \,a^{3} b^{3} e^{7} x^{3}-85800 A \,a^{2} b^{4} d \,e^{6} x^{3}+31200 A a \,b^{5} d^{2} e^{5} x^{3}-4800 A \,b^{6} d^{3} e^{4} x^{3}+96525 B \,a^{4} b^{2} e^{7} x^{3}-114400 B \,a^{3} b^{3} d \,e^{6} x^{3}+78000 B \,a^{2} b^{4} d^{2} e^{5} x^{3}-28800 B a \,b^{5} d^{3} e^{4} x^{3}+4480 B \,b^{6} d^{4} e^{3} x^{3}+135135 A \,a^{4} b^{2} e^{7} x^{2}-154440 A \,a^{3} b^{3} d \,e^{6} x^{2}+102960 A \,a^{2} b^{4} d^{2} e^{5} x^{2}-37440 A a \,b^{5} d^{3} e^{4} x^{2}+5760 A \,b^{6} d^{4} e^{3} x^{2}+54054 B \,a^{5} b \,e^{7} x^{2}-115830 B \,a^{4} b^{2} d \,e^{6} x^{2}+137280 B \,a^{3} b^{3} d^{2} e^{5} x^{2}-93600 B \,a^{2} b^{4} d^{3} e^{4} x^{2}+34560 B a \,b^{5} d^{4} e^{3} x^{2}-5376 B \,b^{6} d^{5} e^{2} x^{2}+90090 A \,a^{5} b \,e^{7} x -180180 A \,a^{4} b^{2} d \,e^{6} x +205920 A \,a^{3} b^{3} d^{2} e^{5} x -137280 A \,a^{2} b^{4} d^{3} e^{4} x +49920 A a \,b^{5} d^{4} e^{3} x -7680 A \,b^{6} d^{5} e^{2} x +15015 B \,a^{6} e^{7} x -72072 B \,a^{5} b d \,e^{6} x +154440 B \,a^{4} b^{2} d^{2} e^{5} x -183040 B \,a^{3} b^{3} d^{3} e^{4} x +124800 B \,a^{2} b^{4} d^{4} e^{3} x -46080 B a \,b^{5} d^{5} e^{2} x +7168 B \,b^{6} d^{6} e x +45045 A \,a^{6} e^{7}-180180 A \,a^{5} b d \,e^{6}+360360 A \,a^{4} b^{2} d^{2} e^{5}-411840 A \,a^{3} b^{3} d^{3} e^{4}+274560 A \,a^{2} b^{4} d^{4} e^{3}-99840 A a \,b^{5} d^{5} e^{2}+15360 A \,b^{6} d^{6} e -30030 B \,a^{6} d \,e^{6}+144144 B \,a^{5} b \,d^{2} e^{5}-308880 B \,a^{4} b^{2} d^{3} e^{4}+366080 B \,a^{3} b^{3} d^{4} e^{3}-249600 B \,a^{2} b^{4} d^{5} e^{2}+92160 B a \,b^{5} d^{6} e -14336 B \,b^{6} d^{7}\right ) \sqrt {e x +d}}{45045 e^{8}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [B] time = 0.61, size = 767, normalized size = 2.51 \begin {gather*} \frac {2 \, {\left (3003 \, {\left (e x + d\right )}^{\frac {15}{2}} B b^{6} - 3465 \, {\left (7 \, B b^{6} d - {\left (6 \, B a b^{5} + A b^{6}\right )} e\right )} {\left (e x + d\right )}^{\frac {13}{2}} + 12285 \, {\left (7 \, B b^{6} d^{2} - 2 \, {\left (6 \, B a b^{5} + A b^{6}\right )} d e + {\left (5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right )} e^{2}\right )} {\left (e x + d\right )}^{\frac {11}{2}} - 25025 \, {\left (7 \, B b^{6} d^{3} - 3 \, {\left (6 \, B a b^{5} + A b^{6}\right )} d^{2} e + 3 \, {\left (5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right )} d e^{2} - {\left (4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right )} e^{3}\right )} {\left (e x + d\right )}^{\frac {9}{2}} + 32175 \, {\left (7 \, B b^{6} d^{4} - 4 \, {\left (6 \, B a b^{5} + A b^{6}\right )} d^{3} e + 6 \, {\left (5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right )} d^{2} e^{2} - 4 \, {\left (4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right )} d e^{3} + {\left (3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right )} e^{4}\right )} {\left (e x + d\right )}^{\frac {7}{2}} - 27027 \, {\left (7 \, B b^{6} d^{5} - 5 \, {\left (6 \, B a b^{5} + A b^{6}\right )} d^{4} e + 10 \, {\left (5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right )} d^{3} e^{2} - 10 \, {\left (4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right )} d^{2} e^{3} + 5 \, {\left (3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right )} d e^{4} - {\left (2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right )} e^{5}\right )} {\left (e x + d\right )}^{\frac {5}{2}} + 15015 \, {\left (7 \, B b^{6} d^{6} - 6 \, {\left (6 \, B a b^{5} + A b^{6}\right )} d^{5} e + 15 \, {\left (5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right )} d^{4} e^{2} - 20 \, {\left (4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right )} d^{3} e^{3} + 15 \, {\left (3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right )} d^{2} e^{4} - 6 \, {\left (2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right )} d e^{5} + {\left (B a^{6} + 6 \, A a^{5} b\right )} e^{6}\right )} {\left (e x + d\right )}^{\frac {3}{2}} - 45045 \, {\left (B b^{6} d^{7} - A a^{6} e^{7} - {\left (6 \, B a b^{5} + A b^{6}\right )} d^{6} e + 3 \, {\left (5 \, B a^{2} b^{4} + 2 \, A a b^{5}\right )} d^{5} e^{2} - 5 \, {\left (4 \, B a^{3} b^{3} + 3 \, A a^{2} b^{4}\right )} d^{4} e^{3} + 5 \, {\left (3 \, B a^{4} b^{2} + 4 \, A a^{3} b^{3}\right )} d^{3} e^{4} - 3 \, {\left (2 \, B a^{5} b + 5 \, A a^{4} b^{2}\right )} d^{2} e^{5} + {\left (B a^{6} + 6 \, A a^{5} b\right )} d e^{6}\right )} \sqrt {e x + d}\right )}}{45045 \, e^{8}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.08, size = 279, normalized size = 0.91 \begin {gather*} \frac {{\left (d+e\,x\right )}^{13/2}\,\left (2\,A\,b^6\,e-14\,B\,b^6\,d+12\,B\,a\,b^5\,e\right )}{13\,e^8}+\frac {2\,{\left (a\,e-b\,d\right )}^5\,{\left (d+e\,x\right )}^{3/2}\,\left (6\,A\,b\,e+B\,a\,e-7\,B\,b\,d\right )}{3\,e^8}+\frac {2\,B\,b^6\,{\left (d+e\,x\right )}^{15/2}}{15\,e^8}+\frac {2\,\left (A\,e-B\,d\right )\,{\left (a\,e-b\,d\right )}^6\,\sqrt {d+e\,x}}{e^8}+\frac {6\,b\,{\left (a\,e-b\,d\right )}^4\,{\left (d+e\,x\right )}^{5/2}\,\left (5\,A\,b\,e+2\,B\,a\,e-7\,B\,b\,d\right )}{5\,e^8}+\frac {6\,b^4\,\left (a\,e-b\,d\right )\,{\left (d+e\,x\right )}^{11/2}\,\left (2\,A\,b\,e+5\,B\,a\,e-7\,B\,b\,d\right )}{11\,e^8}+\frac {10\,b^2\,{\left (a\,e-b\,d\right )}^3\,{\left (d+e\,x\right )}^{7/2}\,\left (4\,A\,b\,e+3\,B\,a\,e-7\,B\,b\,d\right )}{7\,e^8}+\frac {10\,b^3\,{\left (a\,e-b\,d\right )}^2\,{\left (d+e\,x\right )}^{9/2}\,\left (3\,A\,b\,e+4\,B\,a\,e-7\,B\,b\,d\right )}{9\,e^8} \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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