Optimal. Leaf size=5 \[ \log (\log (c x)) \]
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Rubi [A] time = 0.0116483, antiderivative size = 5, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 10, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.2, Rules used = {2302, 29} \[ \log (\log (c x)) \]
Antiderivative was successfully verified.
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Rule 2302
Rule 29
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*}
Mathematica [A] time = 0.0046747, size = 5, normalized size = 1. \[ \log (\log (c x)) \]
Antiderivative was successfully verified.
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Maple [A] time = 0.033, size = 6, normalized size = 1.2 \begin{align*} \ln \left ( \ln \left ( cx \right ) \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.03103, size = 7, normalized size = 1.4 \begin{align*} \log \left (\log \left (c x\right )\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0.852844, size = 20, normalized size = 4. \begin{align*} \log \left (\log \left (c x\right )\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.100574, size = 5, normalized size = 1. \begin{align*} \log{\left (\log{\left (c x \right )} \right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [F(-2)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Exception raised: NotImplementedError} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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