Optimal. Leaf size=2 \[ \operatorname {ExpIntegralEi}(x) \]
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Rubi [A] time = 0.01, antiderivative size = 2, normalized size of antiderivative = 1.00, 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*}
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Mathematica [A] time = 0.00, size = 2, normalized size = 1.00 \[ \operatorname {ExpIntegralEi}(x) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 2, normalized size = 1.00 \[ {\rm Ei}\relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.01, size = 2, normalized size = 1.00 \[ {\rm Ei}\relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [B] time = 0.00, size = 8, normalized size = 4.00 \[ -\Ei \left (1, -x \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.71, size = 2, normalized size = 1.00 \[ {\rm Ei}\relax (x) \]
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 \[ \mathrm {ei}\relax (x) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.71, size = 2, normalized size = 1.00 \[ \operatorname {Ei}{\relax (x )} \]
Verification of antiderivative is not currently implemented for this CAS.
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