Optimal. Leaf size=11 \[ \frac {e^{-x} x}{\log (x)} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.02, antiderivative size = 11, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 20, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.050, Rules used = {2201} \[ \frac {e^{-x} x}{\log (x)} \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 2201
Rubi steps
\begin {align*} \int \frac {e^{-x} (-1+(1-x) \log (x))}{\log ^2(x)} \, dx &=\frac {e^{-x} x}{\log (x)}\\ \end {align*}
________________________________________________________________________________________
Mathematica [A] time = 0.01, size = 11, normalized size = 1.00 \[ \frac {e^{-x} x}{\log (x)} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.41, size = 10, normalized size = 0.91 \[ \frac {x e^{\left (-x\right )}}{\log \relax (x)} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.99, size = 10, normalized size = 0.91 \[ \frac {x e^{\left (-x\right )}}{\log \relax (x)} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.02, size = 11, normalized size = 1.00 \[ \frac {x \,{\mathrm e}^{-x}}{\ln \relax (x )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 0.58, size = 10, normalized size = 0.91 \[ \frac {x e^{\left (-x\right )}}{\log \relax (x)} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.22, size = 10, normalized size = 0.91 \[ \frac {x\,{\mathrm {e}}^{-x}}{\ln \relax (x)} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.27, size = 7, normalized size = 0.64 \[ \frac {x e^{- x}}{\log {\relax (x )}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________