Optimal. Leaf size=10 \[ x e^{\frac{1}{\log (x)}+1} \]
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Rubi [A] time = 0.026896, antiderivative size = 10, normalized size of antiderivative = 1., 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*}
Mathematica [A] time = 0.0060003, size = 10, normalized size = 1. \[ x e^{\frac{1}{\log (x)}+1} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.015, size = 10, normalized size = 1. \begin{align*}{{\rm e}^{1+ \left ( \ln \left ( x \right ) \right ) ^{-1}}}x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.14036, size = 12, normalized size = 1.2 \begin{align*} x e^{\left (\frac{1}{\log \left (x\right )} + 1\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.51604, size = 36, normalized size = 3.6 \begin{align*} x e^{\left (\frac{\log \left (x\right ) + 1}{\log \left (x\right )}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 1.29315, size = 8, normalized size = 0.8 \begin{align*} x e^{1 + \frac{1}{\log{\left (x \right )}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.09356, size = 12, normalized size = 1.2 \begin{align*} x e^{\left (\frac{1}{\log \left (x\right )} + 1\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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