Optimal. Leaf size=8 \[ x \log (x)-x \]
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Rubi [A] time = 0.0009977, antiderivative size = 8, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 2, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.5, Rules used = {2295} \[ x \log (x)-x \]
Antiderivative was successfully verified.
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Rule 2295
Rubi steps
\begin{align*} \int \log (x) \, dx &=-x+x \log (x)\\ \end{align*}
Mathematica [A] time = 0.0005906, size = 8, normalized size = 1. \[ x \log (x)-x \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 9, normalized size = 1.1 \begin{align*} -x+x\ln \left ( x \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.921812, size = 11, normalized size = 1.38 \begin{align*} x \log \left (x\right ) - x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.82787, size = 19, normalized size = 2.38 \begin{align*} x \log \left (x\right ) - x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.076374, size = 5, normalized size = 0.62 \begin{align*} x \log{\left (x \right )} - x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.05865, size = 11, normalized size = 1.38 \begin{align*} x \log \left (x\right ) - x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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