Optimal. Leaf size=13 \[ \frac {\log (10 x \log (3))}{25 x} \]
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Rubi [A] time = 0.01, antiderivative size = 13, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 17, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.118, Rules used = {12, 2303} \begin {gather*} \frac {\log (10 x \log (3))}{25 x} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2303
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {1}{25} \int \frac {1-\log (10 x \log (3))}{x^2} \, dx\\ &=\frac {\log (10 x \log (3))}{25 x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 13, normalized size = 1.00 \begin {gather*} \frac {\log (10 x \log (3))}{25 x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.69, size = 11, normalized size = 0.85 \begin {gather*} \frac {\log \left (10 \, x \log \relax (3)\right )}{25 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.14, size = 11, normalized size = 0.85 \begin {gather*} \frac {\log \left (10 \, x \log \relax (3)\right )}{25 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 12, normalized size = 0.92
method | result | size |
derivativedivides | \(\frac {\ln \left (10 x \ln \relax (3)\right )}{25 x}\) | \(12\) |
default | \(\frac {\ln \left (10 x \ln \relax (3)\right )}{25 x}\) | \(12\) |
norman | \(\frac {\ln \left (10 x \ln \relax (3)\right )}{25 x}\) | \(12\) |
risch | \(\frac {\ln \left (10 x \ln \relax (3)\right )}{25 x}\) | \(12\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [B] time = 0.46, size = 30, normalized size = 2.31 \begin {gather*} \frac {1}{25} \, {\left (\frac {\log \left (10 \, x \log \relax (3)\right ) + 1}{x \log \relax (3)} - \frac {1}{x \log \relax (3)}\right )} \log \relax (3) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 6.29, size = 13, normalized size = 1.00 \begin {gather*} \frac {\ln \left (10\right )+\ln \left (\ln \relax (3)\right )+\ln \relax (x)}{25\,x} \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 = 0.77 \begin {gather*} \frac {\log {\left (10 x \log {\relax (3 )} \right )}}{25 x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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