Optimal. Leaf size=2 \[ \operatorname {LogIntegral}(t) \]
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Rubi [A] time = 0.00, antiderivative size = 2, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 4, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.250, Rules used = {2298} \[ \text {LogIntegral}(t) \]
Antiderivative was successfully verified.
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Rule 2298
Rubi steps
\begin {align*} \int \frac {1}{\log (t)} \, dt &=\text {li}(t)\\ \end {align*}
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Mathematica [A] time = 0.00, size = 2, normalized size = 1.00 \[ \operatorname {LogIntegral}(t) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 2, normalized size = 1.00 \[ \operatorname {log\_integral}\relax (t) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.01, size = 3, normalized size = 1.50 \[ {\rm Ei}\left (\log \relax (t)\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [B] time = 0.01, size = 9, normalized size = 4.50 \[ -\Ei \left (1, -\ln \relax (t )\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.63, size = 3, normalized size = 1.50 \[ {\rm Ei}\left (\log \relax (t)\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.01, size = 2, normalized size = 1.00 \[ \mathrm {logint}\relax (t) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.46, size = 2, normalized size = 1.00 \[ \operatorname {li}{\relax (t )} \]
Verification of antiderivative is not currently implemented for this CAS.
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