Optimal. Leaf size=4 \[ \text{ExpIntegralEi}(a x) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0112163, antiderivative size = 4, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111, Rules used = {2178} \[ \text{ExpIntegralEi}(a x) \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 2178
Rubi steps
\begin{align*} \int \frac{e^{a x}}{x} \, dx &=\text{Ei}(a x)\\ \end{align*}
Mathematica [A] time = 0.0054589, size = 4, normalized size = 1. \[ \text{ExpIntegralEi}(a x) \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.003, size = 9, normalized size = 2.3 \begin{align*} -{\it Ei} \left ( 1,-ax \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 1.04897, size = 5, normalized size = 1.25 \begin{align*}{\rm Ei}\left (a x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 1.65542, size = 12, normalized size = 3. \begin{align*}{\rm Ei}\left (a x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.963768, size = 3, normalized size = 0.75 \begin{align*} \operatorname{Ei}{\left (a x \right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.07437, size = 5, normalized size = 1.25 \begin{align*}{\rm Ei}\left (a x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]