Optimal. Leaf size=21 \[ \log \left (\left (5+x+\frac {10}{7} \left (x-x^2\right )-\log (3)\right )^2\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 20, normalized size of antiderivative = 0.95, number of steps used = 1, number of rules used = 1, integrand size = 22, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.045, Rules used = {628} \begin {gather*} 2 \log \left (-10 x^2+17 x+7 (5-\log (3))\right ) \end {gather*}
Antiderivative was successfully verified.
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Rule 628
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=2 \log \left (17 x-10 x^2+7 (5-\log (3))\right )\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.01, size = 18, normalized size = 0.86 \begin {gather*} 2 \log \left (-17 x+10 x^2+7 (-5+\log (3))\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.03, size = 17, normalized size = 0.81 \begin {gather*} 2 \, \log \left (10 \, x^{2} - 17 \, x + 7 \, \log \relax (3) - 35\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.14, size = 18, normalized size = 0.86 \begin {gather*} 2 \, \log \left ({\left | 10 \, x^{2} - 17 \, x + 7 \, \log \relax (3) - 35 \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.27, size = 18, normalized size = 0.86
method | result | size |
default | \(2 \ln \left (7 \ln \relax (3)+10 x^{2}-17 x -35\right )\) | \(18\) |
norman | \(2 \ln \left (7 \ln \relax (3)+10 x^{2}-17 x -35\right )\) | \(18\) |
risch | \(2 \ln \left (7 \ln \relax (3)+10 x^{2}-17 x -35\right )\) | \(18\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 17, normalized size = 0.81 \begin {gather*} 2 \, \log \left (10 \, x^{2} - 17 \, x + 7 \, \log \relax (3) - 35\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.08, size = 17, normalized size = 0.81 \begin {gather*} 2\,\ln \left (10\,x^2-17\,x+7\,\ln \relax (3)-35\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.15, size = 17, normalized size = 0.81 \begin {gather*} 2 \log {\left (10 x^{2} - 17 x - 35 + 7 \log {\relax (3 )} \right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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