Optimal. Leaf size=44 \[ -\frac {225 x^5}{2}-\frac {8175 x^4}{16}-\frac {25835 x^3}{24}-\frac {47939 x^2}{32}-\frac {61763 x}{32}-\frac {65219}{64} \log (1-2 x) \]
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Rubi [A] time = 0.02, antiderivative size = 44, normalized size of antiderivative = 1.00, 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} \begin {gather*} -\frac {225 x^5}{2}-\frac {8175 x^4}{16}-\frac {25835 x^3}{24}-\frac {47939 x^2}{32}-\frac {61763 x}{32}-\frac {65219}{64} \log (1-2 x) \end {gather*}
Antiderivative was successfully verified.
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Rule 88
Rubi steps
\begin {align*} \int \frac {(2+3 x)^2 (3+5 x)^3}{1-2 x} \, dx &=\int \left (-\frac {61763}{32}-\frac {47939 x}{16}-\frac {25835 x^2}{8}-\frac {8175 x^3}{4}-\frac {1125 x^4}{2}-\frac {65219}{32 (-1+2 x)}\right ) \, dx\\ &=-\frac {61763 x}{32}-\frac {47939 x^2}{32}-\frac {25835 x^3}{24}-\frac {8175 x^4}{16}-\frac {225 x^5}{2}-\frac {65219}{64} \log (1-2 x)\\ \end {align*}
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Mathematica [A] time = 0.01, size = 37, normalized size = 0.84 \begin {gather*} \frac {1}{768} \left (-86400 x^5-392400 x^4-826720 x^3-1150536 x^2-1482312 x-782628 \log (1-2 x)+1159355\right ) \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [F] time = 0.00, size = 0, normalized size = 0.00 \begin {gather*} \int \frac {(2+3 x)^2 (3+5 x)^3}{1-2 x} \, dx \end {gather*}
Verification is not applicable to the result.
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fricas [A] time = 1.04, size = 32, normalized size = 0.73 \begin {gather*} -\frac {225}{2} \, x^{5} - \frac {8175}{16} \, x^{4} - \frac {25835}{24} \, x^{3} - \frac {47939}{32} \, x^{2} - \frac {61763}{32} \, x - \frac {65219}{64} \, \log \left (2 \, x - 1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.91, size = 33, normalized size = 0.75 \begin {gather*} -\frac {225}{2} \, x^{5} - \frac {8175}{16} \, x^{4} - \frac {25835}{24} \, x^{3} - \frac {47939}{32} \, x^{2} - \frac {61763}{32} \, x - \frac {65219}{64} \, \log \left ({\left | 2 \, x - 1 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 33, normalized size = 0.75 \begin {gather*} -\frac {225 x^{5}}{2}-\frac {8175 x^{4}}{16}-\frac {25835 x^{3}}{24}-\frac {47939 x^{2}}{32}-\frac {61763 x}{32}-\frac {65219 \ln \left (2 x -1\right )}{64} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.49, size = 32, normalized size = 0.73 \begin {gather*} -\frac {225}{2} \, x^{5} - \frac {8175}{16} \, x^{4} - \frac {25835}{24} \, x^{3} - \frac {47939}{32} \, x^{2} - \frac {61763}{32} \, x - \frac {65219}{64} \, \log \left (2 \, x - 1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 30, normalized size = 0.68 \begin {gather*} -\frac {61763\,x}{32}-\frac {65219\,\ln \left (x-\frac {1}{2}\right )}{64}-\frac {47939\,x^2}{32}-\frac {25835\,x^3}{24}-\frac {8175\,x^4}{16}-\frac {225\,x^5}{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.11, size = 42, normalized size = 0.95 \begin {gather*} - \frac {225 x^{5}}{2} - \frac {8175 x^{4}}{16} - \frac {25835 x^{3}}{24} - \frac {47939 x^{2}}{32} - \frac {61763 x}{32} - \frac {65219 \log {\left (2 x - 1 \right )}}{64} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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