Optimal. Leaf size=8 \[ \frac{\text{li}(c x)}{c} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0028761, antiderivative size = 8, normalized size of antiderivative = 1., 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.
[In]
[Out]
Rule 2298
Rubi steps
\begin{align*} \int \frac{1}{\log (c x)} \, dx &=\frac{\text{li}(c x)}{c}\\ \end{align*}
Mathematica [A] time = 0.0045917, size = 8, normalized size = 1. \[ \frac{\text{li}(c x)}{c} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.037, size = 14, normalized size = 1.8 \begin{align*} -{\frac{{\it Ei} \left ( 1,-\ln \left ( cx \right ) \right ) }{c}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 1.18215, size = 12, normalized size = 1.5 \begin{align*} \frac{{\rm Ei}\left (\log \left (c x\right )\right )}{c} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 0.844042, size = 28, normalized size = 3.5 \begin{align*} \frac{\logintegral \left (c x\right )}{c} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.510081, size = 5, normalized size = 0.62 \begin{align*} \frac{\operatorname{li}{\left (c x \right )}}{c} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.10455, size = 12, normalized size = 1.5 \begin{align*} \frac{{\rm Ei}\left (\log \left (c x\right )\right )}{c} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]