Optimal. Leaf size=8 \[ \frac {\text {li}(c x)}{c} \]
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Rubi [A] time = 0.00, antiderivative size = 8, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {2298} \[ \frac {\text {li}(c x)}{c} \]
Antiderivative was successfully verified.
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Rule 2298
Rubi steps
\begin {align*} \int \frac {1}{\log (c x)} \, dx &=\frac {\text {li}(c x)}{c}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 1.00 \[ \frac {\text {li}(c x)}{c} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 8, normalized size = 1.00 \[ \frac {\operatorname {log\_integral}\left (c x\right )}{c} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.18, size = 9, normalized size = 1.12 \[ \frac {{\rm Ei}\left (\log \left (c x\right )\right )}{c} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 14, normalized size = 1.75 \[ -\frac {\Ei \left (1, -\ln \left (c x \right )\right )}{c} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.89, size = 9, normalized size = 1.12 \[ \frac {{\rm Ei}\left (\log \left (c x\right )\right )}{c} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.43, size = 8, normalized size = 1.00 \[ \frac {\mathrm {logint}\left (c\,x\right )}{c} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.48, size = 5, normalized size = 0.62 \[ \frac {\operatorname {li}{\left (c x \right )}}{c} \]
Verification of antiderivative is not currently implemented for this CAS.
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