Optimal. Leaf size=72 \[ -\frac{6075 x^9}{2}-\frac{696195 x^8}{32}-\frac{4040847 x^7}{56}-\frac{4736853 x^6}{32}-\frac{34084287 x^5}{160}-\frac{59969727 x^4}{256}-\frac{27480469 x^3}{128}-\frac{94979263 x^2}{512}-\frac{99058879 x}{512}-\frac{99648703 \log (1-2 x)}{1024} \]
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Rubi [A] time = 0.0350201, antiderivative size = 72, 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, Rules used = {88} \[ -\frac{6075 x^9}{2}-\frac{696195 x^8}{32}-\frac{4040847 x^7}{56}-\frac{4736853 x^6}{32}-\frac{34084287 x^5}{160}-\frac{59969727 x^4}{256}-\frac{27480469 x^3}{128}-\frac{94979263 x^2}{512}-\frac{99058879 x}{512}-\frac{99648703 \log (1-2 x)}{1024} \]
Antiderivative was successfully verified.
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Rule 88
Rubi steps
\begin{align*} \int \frac{(2+3 x)^7 (3+5 x)^2}{1-2 x} \, dx &=\int \left (-\frac{99058879}{512}-\frac{94979263 x}{256}-\frac{82441407 x^2}{128}-\frac{59969727 x^3}{64}-\frac{34084287 x^4}{32}-\frac{14210559 x^5}{16}-\frac{4040847 x^6}{8}-\frac{696195 x^7}{4}-\frac{54675 x^8}{2}-\frac{99648703}{512 (-1+2 x)}\right ) \, dx\\ &=-\frac{99058879 x}{512}-\frac{94979263 x^2}{512}-\frac{27480469 x^3}{128}-\frac{59969727 x^4}{256}-\frac{34084287 x^5}{160}-\frac{4736853 x^6}{32}-\frac{4040847 x^7}{56}-\frac{696195 x^8}{32}-\frac{6075 x^9}{2}-\frac{99648703 \log (1-2 x)}{1024}\\ \end{align*}
Mathematica [A] time = 0.0136671, size = 75, normalized size = 1.04 \[ -\frac{6075 x^9}{2}-\frac{696195 x^8}{32}-\frac{4040847 x^7}{56}-\frac{4736853 x^6}{32}-\frac{34084287 x^5}{160}-\frac{59969727 x^4}{256}-\frac{27480469 x^3}{128}-\frac{94979263 x^2}{512}-\frac{99058879 x}{512}-\frac{99648703 \log (1-2 x)}{1024}+\frac{55685576347}{286720} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.002, size = 53, normalized size = 0.7 \begin{align*} -{\frac{6075\,{x}^{9}}{2}}-{\frac{696195\,{x}^{8}}{32}}-{\frac{4040847\,{x}^{7}}{56}}-{\frac{4736853\,{x}^{6}}{32}}-{\frac{34084287\,{x}^{5}}{160}}-{\frac{59969727\,{x}^{4}}{256}}-{\frac{27480469\,{x}^{3}}{128}}-{\frac{94979263\,{x}^{2}}{512}}-{\frac{99058879\,x}{512}}-{\frac{99648703\,\ln \left ( 2\,x-1 \right ) }{1024}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.033, size = 70, normalized size = 0.97 \begin{align*} -\frac{6075}{2} \, x^{9} - \frac{696195}{32} \, x^{8} - \frac{4040847}{56} \, x^{7} - \frac{4736853}{32} \, x^{6} - \frac{34084287}{160} \, x^{5} - \frac{59969727}{256} \, x^{4} - \frac{27480469}{128} \, x^{3} - \frac{94979263}{512} \, x^{2} - \frac{99058879}{512} \, x - \frac{99648703}{1024} \, \log \left (2 \, x - 1\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.51209, size = 250, normalized size = 3.47 \begin{align*} -\frac{6075}{2} \, x^{9} - \frac{696195}{32} \, x^{8} - \frac{4040847}{56} \, x^{7} - \frac{4736853}{32} \, x^{6} - \frac{34084287}{160} \, x^{5} - \frac{59969727}{256} \, x^{4} - \frac{27480469}{128} \, x^{3} - \frac{94979263}{512} \, x^{2} - \frac{99058879}{512} \, x - \frac{99648703}{1024} \, \log \left (2 \, x - 1\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.109433, size = 70, normalized size = 0.97 \begin{align*} - \frac{6075 x^{9}}{2} - \frac{696195 x^{8}}{32} - \frac{4040847 x^{7}}{56} - \frac{4736853 x^{6}}{32} - \frac{34084287 x^{5}}{160} - \frac{59969727 x^{4}}{256} - \frac{27480469 x^{3}}{128} - \frac{94979263 x^{2}}{512} - \frac{99058879 x}{512} - \frac{99648703 \log{\left (2 x - 1 \right )}}{1024} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.22617, size = 72, normalized size = 1. \begin{align*} -\frac{6075}{2} \, x^{9} - \frac{696195}{32} \, x^{8} - \frac{4040847}{56} \, x^{7} - \frac{4736853}{32} \, x^{6} - \frac{34084287}{160} \, x^{5} - \frac{59969727}{256} \, x^{4} - \frac{27480469}{128} \, x^{3} - \frac{94979263}{512} \, x^{2} - \frac{99058879}{512} \, x - \frac{99648703}{1024} \, \log \left ({\left | 2 \, x - 1 \right |}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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