Optimal. Leaf size=59 \[ -\frac {3375 x^4}{32}-\frac {11925 x^3}{16}-\frac {44595 x^2}{16}-\frac {284071 x}{32}-\frac {302379}{32 (1-2 x)}+\frac {456533}{256 (1-2 x)^2}-\frac {1334949}{128} \log (1-2 x) \]
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Rubi [A] time = 0.03, antiderivative size = 59, 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} \[ -\frac {3375 x^4}{32}-\frac {11925 x^3}{16}-\frac {44595 x^2}{16}-\frac {284071 x}{32}-\frac {302379}{32 (1-2 x)}+\frac {456533}{256 (1-2 x)^2}-\frac {1334949}{128} \log (1-2 x) \]
Antiderivative was successfully verified.
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Rule 88
Rubi steps
\begin {align*} \int \frac {(2+3 x)^3 (3+5 x)^3}{(1-2 x)^3} \, dx &=\int \left (-\frac {284071}{32}-\frac {44595 x}{8}-\frac {35775 x^2}{16}-\frac {3375 x^3}{8}-\frac {456533}{64 (-1+2 x)^3}-\frac {302379}{16 (-1+2 x)^2}-\frac {1334949}{64 (-1+2 x)}\right ) \, dx\\ &=\frac {456533}{256 (1-2 x)^2}-\frac {302379}{32 (1-2 x)}-\frac {284071 x}{32}-\frac {44595 x^2}{16}-\frac {11925 x^3}{16}-\frac {3375 x^4}{32}-\frac {1334949}{128} \log (1-2 x)\\ \end {align*}
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Mathematica [A] time = 0.03, size = 56, normalized size = 0.95 \[ -\frac {216000 x^6+1310400 x^5+4235760 x^4+12853984 x^3-27475116 x^2+5590620 x+5339796 (1-2 x)^2 \log (1-2 x)+1244595}{512 (1-2 x)^2} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.44, size = 62, normalized size = 1.05 \[ -\frac {108000 \, x^{6} + 655200 \, x^{5} + 2117880 \, x^{4} + 6426992 \, x^{3} - 8376752 \, x^{2} + 2669898 \, {\left (4 \, x^{2} - 4 \, x + 1\right )} \log \left (2 \, x - 1\right ) - 2565496 \, x + 1962499}{256 \, {\left (4 \, x^{2} - 4 \, x + 1\right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.21, size = 42, normalized size = 0.71 \[ -\frac {3375}{32} \, x^{4} - \frac {11925}{16} \, x^{3} - \frac {44595}{16} \, x^{2} - \frac {284071}{32} \, x + \frac {5929 \, {\left (816 \, x - 331\right )}}{256 \, {\left (2 \, x - 1\right )}^{2}} - \frac {1334949}{128} \, \log \left ({\left | 2 \, x - 1 \right |}\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 46, normalized size = 0.78 \[ -\frac {3375 x^{4}}{32}-\frac {11925 x^{3}}{16}-\frac {44595 x^{2}}{16}-\frac {284071 x}{32}-\frac {1334949 \ln \left (2 x -1\right )}{128}+\frac {456533}{256 \left (2 x -1\right )^{2}}+\frac {302379}{32 \left (2 x -1\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.47, size = 46, normalized size = 0.78 \[ -\frac {3375}{32} \, x^{4} - \frac {11925}{16} \, x^{3} - \frac {44595}{16} \, x^{2} - \frac {284071}{32} \, x + \frac {5929 \, {\left (816 \, x - 331\right )}}{256 \, {\left (4 \, x^{2} - 4 \, x + 1\right )}} - \frac {1334949}{128} \, \log \left (2 \, x - 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 41, normalized size = 0.69 \[ \frac {\frac {302379\,x}{64}-\frac {1962499}{1024}}{x^2-x+\frac {1}{4}}-\frac {1334949\,\ln \left (x-\frac {1}{2}\right )}{128}-\frac {284071\,x}{32}-\frac {44595\,x^2}{16}-\frac {11925\,x^3}{16}-\frac {3375\,x^4}{32} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.15, size = 51, normalized size = 0.86 \[ - \frac {3375 x^{4}}{32} - \frac {11925 x^{3}}{16} - \frac {44595 x^{2}}{16} - \frac {284071 x}{32} - \frac {1962499 - 4838064 x}{1024 x^{2} - 1024 x + 256} - \frac {1334949 \log {\left (2 x - 1 \right )}}{128} \]
Verification of antiderivative is not currently implemented for this CAS.
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