Optimal. Leaf size=10 \[ x e^{\frac {1}{\log (x)}+1} \]
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Rubi [A] time = 0.03, antiderivative size = 10, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 19, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.053, Rules used = {2288} \[ x e^{\frac {1}{\log (x)}+1} \]
Antiderivative was successfully verified.
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Rule 2288
Rubi steps
\begin {align*} \int \frac {e^{1+\frac {1}{\log (x)}} \left (-1+\log ^2(x)\right )}{\log ^2(x)} \, dx &=e^{1+\frac {1}{\log (x)}} x\\ \end {align*}
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Mathematica [A] time = 0.01, size = 10, normalized size = 1.00 \[ x e^{\frac {1}{\log (x)}+1} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.42, size = 12, normalized size = 1.20 \[ x e^{\left (\frac {\log \relax (x) + 1}{\log \relax (x)}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.10, size = 9, normalized size = 0.90 \[ x e^{\left (\frac {1}{\log \relax (x)} + 1\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 10, normalized size = 1.00 \[ x \,{\mathrm e}^{\frac {1}{\ln \relax (x )}+1} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.65, size = 9, normalized size = 0.90 \[ x e^{\left (\frac {1}{\log \relax (x)} + 1\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.26, size = 9, normalized size = 0.90 \[ x\,\mathrm {e}\,{\mathrm {e}}^{\frac {1}{\ln \relax (x)}} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 1.59, size = 8, normalized size = 0.80 \[ x e^{1 + \frac {1}{\log {\relax (x )}}} \]
Verification of antiderivative is not currently implemented for this CAS.
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