Optimal. Leaf size=58 \[ -\frac{6075 x^7}{14}-\frac{20385 x^6}{8}-\frac{275103 x^5}{40}-\frac{736623 x^4}{64}-\frac{444581 x^3}{32}-\frac{1797103 x^2}{128}-\frac{1996783 x}{128}-\frac{2033647}{256} \log (1-2 x) \]
[Out]
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Rubi [A] time = 0.0595719, antiderivative size = 58, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 22, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.045 \[ -\frac{6075 x^7}{14}-\frac{20385 x^6}{8}-\frac{275103 x^5}{40}-\frac{736623 x^4}{64}-\frac{444581 x^3}{32}-\frac{1797103 x^2}{128}-\frac{1996783 x}{128}-\frac{2033647}{256} \log (1-2 x) \]
Antiderivative was successfully verified.
[In] Int[((2 + 3*x)^5*(3 + 5*x)^2)/(1 - 2*x),x]
[Out]
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Rubi in Sympy [F] time = 0., size = 0, normalized size = 0. \[ - \frac{6075 x^{7}}{14} - \frac{20385 x^{6}}{8} - \frac{275103 x^{5}}{40} - \frac{736623 x^{4}}{64} - \frac{444581 x^{3}}{32} - \frac{2033647 \log{\left (- 2 x + 1 \right )}}{256} + \int \left (- \frac{1996783}{128}\right )\, dx - \frac{1797103 \int x\, dx}{64} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((2+3*x)**5*(3+5*x)**2/(1-2*x),x)
[Out]
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Mathematica [A] time = 0.0207435, size = 47, normalized size = 0.81 \[ \frac{-15552000 x^7-91324800 x^6-246492288 x^5-412508880 x^4-497930720 x^3-503188840 x^2-559099240 x-284710580 \log (1-2 x)+502621309}{35840} \]
Antiderivative was successfully verified.
[In] Integrate[((2 + 3*x)^5*(3 + 5*x)^2)/(1 - 2*x),x]
[Out]
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Maple [A] time = 0.004, size = 43, normalized size = 0.7 \[ -{\frac{6075\,{x}^{7}}{14}}-{\frac{20385\,{x}^{6}}{8}}-{\frac{275103\,{x}^{5}}{40}}-{\frac{736623\,{x}^{4}}{64}}-{\frac{444581\,{x}^{3}}{32}}-{\frac{1797103\,{x}^{2}}{128}}-{\frac{1996783\,x}{128}}-{\frac{2033647\,\ln \left ( -1+2\,x \right ) }{256}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((2+3*x)^5*(3+5*x)^2/(1-2*x),x)
[Out]
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Maxima [A] time = 1.33275, size = 57, normalized size = 0.98 \[ -\frac{6075}{14} \, x^{7} - \frac{20385}{8} \, x^{6} - \frac{275103}{40} \, x^{5} - \frac{736623}{64} \, x^{4} - \frac{444581}{32} \, x^{3} - \frac{1797103}{128} \, x^{2} - \frac{1996783}{128} \, x - \frac{2033647}{256} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^2*(3*x + 2)^5/(2*x - 1),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.234946, size = 57, normalized size = 0.98 \[ -\frac{6075}{14} \, x^{7} - \frac{20385}{8} \, x^{6} - \frac{275103}{40} \, x^{5} - \frac{736623}{64} \, x^{4} - \frac{444581}{32} \, x^{3} - \frac{1797103}{128} \, x^{2} - \frac{1996783}{128} \, x - \frac{2033647}{256} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^2*(3*x + 2)^5/(2*x - 1),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.235938, size = 56, normalized size = 0.97 \[ - \frac{6075 x^{7}}{14} - \frac{20385 x^{6}}{8} - \frac{275103 x^{5}}{40} - \frac{736623 x^{4}}{64} - \frac{444581 x^{3}}{32} - \frac{1797103 x^{2}}{128} - \frac{1996783 x}{128} - \frac{2033647 \log{\left (2 x - 1 \right )}}{256} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((2+3*x)**5*(3+5*x)**2/(1-2*x),x)
[Out]
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GIAC/XCAS [A] time = 0.212865, size = 58, normalized size = 1. \[ -\frac{6075}{14} \, x^{7} - \frac{20385}{8} \, x^{6} - \frac{275103}{40} \, x^{5} - \frac{736623}{64} \, x^{4} - \frac{444581}{32} \, x^{3} - \frac{1797103}{128} \, x^{2} - \frac{1996783}{128} \, x - \frac{2033647}{256} \,{\rm ln}\left ({\left | 2 \, x - 1 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-(5*x + 3)^2*(3*x + 2)^5/(2*x - 1),x, algorithm="giac")
[Out]