Optimal. Leaf size=79 \[ -\frac {54675 x^{10}}{4}-\frac {423225 x^9}{4}-\frac {24381405 x^8}{64}-\frac {95297877 x^7}{112}-\frac {85228263 x^6}{64}-\frac {504354357 x^5}{320}-\frac {772025397 x^4}{512}-\frac {969544757 x^3}{768}-\frac {1065169973 x^2}{1024}-\frac {1092596789 x}{1024}-\frac {1096135733 \log (1-2 x)}{2048} \]
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Rubi [A] time = 0.04, antiderivative size = 79, 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 {54675 x^{10}}{4}-\frac {423225 x^9}{4}-\frac {24381405 x^8}{64}-\frac {95297877 x^7}{112}-\frac {85228263 x^6}{64}-\frac {504354357 x^5}{320}-\frac {772025397 x^4}{512}-\frac {969544757 x^3}{768}-\frac {1065169973 x^2}{1024}-\frac {1092596789 x}{1024}-\frac {1096135733 \log (1-2 x)}{2048} \end {gather*}
Antiderivative was successfully verified.
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Rule 88
Rubi steps
\begin {align*} \int \frac {(2+3 x)^7 (3+5 x)^3}{1-2 x} \, dx &=\int \left (-\frac {1092596789}{1024}-\frac {1065169973 x}{512}-\frac {969544757 x^2}{256}-\frac {772025397 x^3}{128}-\frac {504354357 x^4}{64}-\frac {255684789 x^5}{32}-\frac {95297877 x^6}{16}-\frac {24381405 x^7}{8}-\frac {3809025 x^8}{4}-\frac {273375 x^9}{2}-\frac {1096135733}{1024 (-1+2 x)}\right ) \, dx\\ &=-\frac {1092596789 x}{1024}-\frac {1065169973 x^2}{1024}-\frac {969544757 x^3}{768}-\frac {772025397 x^4}{512}-\frac {504354357 x^5}{320}-\frac {85228263 x^6}{64}-\frac {95297877 x^7}{112}-\frac {24381405 x^8}{64}-\frac {423225 x^9}{4}-\frac {54675 x^{10}}{4}-\frac {1096135733 \log (1-2 x)}{2048}\\ \end {align*}
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Mathematica [A] time = 0.02, size = 82, normalized size = 1.04 \begin {gather*} -\frac {54675 x^{10}}{4}-\frac {423225 x^9}{4}-\frac {24381405 x^8}{64}-\frac {95297877 x^7}{112}-\frac {85228263 x^6}{64}-\frac {504354357 x^5}{320}-\frac {772025397 x^4}{512}-\frac {969544757 x^3}{768}-\frac {1065169973 x^2}{1024}-\frac {1092596789 x}{1024}-\frac {1096135733 \log (1-2 x)}{2048}+\frac {1933652224451}{1720320} \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)^7 (3+5 x)^3}{1-2 x} \, dx \end {gather*}
Verification is not applicable to the result.
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fricas [A] time = 0.98, size = 57, normalized size = 0.72 \begin {gather*} -\frac {54675}{4} \, x^{10} - \frac {423225}{4} \, x^{9} - \frac {24381405}{64} \, x^{8} - \frac {95297877}{112} \, x^{7} - \frac {85228263}{64} \, x^{6} - \frac {504354357}{320} \, x^{5} - \frac {772025397}{512} \, x^{4} - \frac {969544757}{768} \, x^{3} - \frac {1065169973}{1024} \, x^{2} - \frac {1092596789}{1024} \, x - \frac {1096135733}{2048} \, \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 = 1.10, size = 58, normalized size = 0.73 \begin {gather*} -\frac {54675}{4} \, x^{10} - \frac {423225}{4} \, x^{9} - \frac {24381405}{64} \, x^{8} - \frac {95297877}{112} \, x^{7} - \frac {85228263}{64} \, x^{6} - \frac {504354357}{320} \, x^{5} - \frac {772025397}{512} \, x^{4} - \frac {969544757}{768} \, x^{3} - \frac {1065169973}{1024} \, x^{2} - \frac {1092596789}{1024} \, x - \frac {1096135733}{2048} \, \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 = 58, normalized size = 0.73 \begin {gather*} -\frac {54675 x^{10}}{4}-\frac {423225 x^{9}}{4}-\frac {24381405 x^{8}}{64}-\frac {95297877 x^{7}}{112}-\frac {85228263 x^{6}}{64}-\frac {504354357 x^{5}}{320}-\frac {772025397 x^{4}}{512}-\frac {969544757 x^{3}}{768}-\frac {1065169973 x^{2}}{1024}-\frac {1092596789 x}{1024}-\frac {1096135733 \ln \left (2 x -1\right )}{2048} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.62, size = 57, normalized size = 0.72 \begin {gather*} -\frac {54675}{4} \, x^{10} - \frac {423225}{4} \, x^{9} - \frac {24381405}{64} \, x^{8} - \frac {95297877}{112} \, x^{7} - \frac {85228263}{64} \, x^{6} - \frac {504354357}{320} \, x^{5} - \frac {772025397}{512} \, x^{4} - \frac {969544757}{768} \, x^{3} - \frac {1065169973}{1024} \, x^{2} - \frac {1092596789}{1024} \, x - \frac {1096135733}{2048} \, \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 = 0.06, size = 55, normalized size = 0.70 \begin {gather*} -\frac {1092596789\,x}{1024}-\frac {1096135733\,\ln \left (x-\frac {1}{2}\right )}{2048}-\frac {1065169973\,x^2}{1024}-\frac {969544757\,x^3}{768}-\frac {772025397\,x^4}{512}-\frac {504354357\,x^5}{320}-\frac {85228263\,x^6}{64}-\frac {95297877\,x^7}{112}-\frac {24381405\,x^8}{64}-\frac {423225\,x^9}{4}-\frac {54675\,x^{10}}{4} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.13, size = 76, normalized size = 0.96 \begin {gather*} - \frac {54675 x^{10}}{4} - \frac {423225 x^{9}}{4} - \frac {24381405 x^{8}}{64} - \frac {95297877 x^{7}}{112} - \frac {85228263 x^{6}}{64} - \frac {504354357 x^{5}}{320} - \frac {772025397 x^{4}}{512} - \frac {969544757 x^{3}}{768} - \frac {1065169973 x^{2}}{1024} - \frac {1092596789 x}{1024} - \frac {1096135733 \log {\left (2 x - 1 \right )}}{2048} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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