Optimal. Leaf size=5 \[ \log (\log (c x)) \]
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Rubi [A] time = 0.01, antiderivative size = 5, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 10, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {2302, 29} \[ \log (\log (c x)) \]
Antiderivative was successfully verified.
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Rule 29
Rule 2302
Rubi steps
\begin {align*} \int \frac {1}{x \log (c x)} \, dx &=\operatorname {Subst}\left (\int \frac {1}{x} \, dx,x,\log (c x)\right )\\ &=\log (\log (c x))\\ \end {align*}
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Mathematica [A] time = 0.00, size = 5, normalized size = 1.00 \[ \log (\log (c x)) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.42, size = 5, normalized size = 1.00 \[ \log \left (\log \left (c x\right )\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.21, size = 5, normalized size = 1.00 \[ \log \left (\log \left (c x\right )\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 6, normalized size = 1.20 \[ \ln \left (\ln \left (c x \right )\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.68, size = 5, normalized size = 1.00 \[ \log \left (\log \left (c x\right )\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.54, size = 5, normalized size = 1.00 \[ \ln \left (\ln \left (c\,x\right )\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.10, size = 5, normalized size = 1.00 \[ \log {\left (\log {\left (c x \right )} \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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