Optimal. Leaf size=2 \[ \text{ExpIntegralEi}(x) \]
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Rubi [A] time = 0.0099006, antiderivative size = 2, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143, Rules used = {2178} \[ \text{ExpIntegralEi}(x) \]
Antiderivative was successfully verified.
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Rule 2178
Rubi steps
\begin{align*} \int \frac{e^x}{x} \, dx &=\text{Ei}(x)\\ \end{align*}
Mathematica [A] time = 0.0040816, size = 2, normalized size = 1. \[ \text{ExpIntegralEi}(x) \]
Antiderivative was successfully verified.
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Maple [B] time = 0.002, size = 8, normalized size = 4. \begin{align*} -{\it Ei} \left ( 1,-x \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.01328, size = 3, normalized size = 1.5 \begin{align*}{\rm Ei}\left (x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.86946, size = 9, normalized size = 4.5 \begin{align*}{\rm Ei}\left (x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.735941, size = 2, normalized size = 1. \begin{align*} \operatorname{Ei}{\left (x \right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.07608, size = 3, normalized size = 1.5 \begin{align*}{\rm Ei}\left (x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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