Optimal. Leaf size=10 \[ 25 \log (6) \log ^2(2 x) \]
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Rubi [A] time = 0.01, antiderivative size = 10, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 11, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.182, Rules used = {12, 2301} \begin {gather*} 25 \log (6) \log ^2(2 x) \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2301
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=(50 \log (6)) \int \frac {\log (2 x)}{x} \, dx\\ &=25 \log (6) \log ^2(2 x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 1.00 \begin {gather*} 25 \log (6) \log ^2(2 x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.72, size = 10, normalized size = 1.00 \begin {gather*} 25 \, \log \relax (6) \log \left (2 \, x\right )^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.23, size = 10, normalized size = 1.00 \begin {gather*} 25 \, \log \relax (6) \log \left (2 \, x\right )^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 11, normalized size = 1.10
method | result | size |
derivativedivides | \(25 \ln \left (2 x \right )^{2} \ln \relax (6)\) | \(11\) |
default | \(25 \ln \left (2 x \right )^{2} \ln \relax (6)\) | \(11\) |
norman | \(25 \ln \left (2 x \right )^{2} \ln \relax (6)\) | \(11\) |
risch | \(25 \ln \left (2 x \right )^{2} \ln \relax (2)+25 \ln \left (2 x \right )^{2} \ln \relax (3)\) | \(22\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.53, size = 10, normalized size = 1.00 \begin {gather*} 25 \, \log \relax (6) \log \left (2 \, x\right )^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 1.03, size = 10, normalized size = 1.00 \begin {gather*} 25\,{\ln \left (2\,x\right )}^2\,\ln \relax (6) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.10, size = 10, normalized size = 1.00 \begin {gather*} 25 \log {\relax (6 )} \log {\left (2 x \right )}^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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