Optimal. Leaf size=8 \[ x \log (x)-x \]
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Rubi [A] time = 0.00, antiderivative size = 8, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 2, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.500, 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*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 1.00 \[ x \log (x)-x \]
Antiderivative was successfully verified.
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fricas [A] time = 0.41, size = 8, normalized size = 1.00 \[ x \log \relax (x) - x \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.94, size = 8, normalized size = 1.00 \[ x \log \relax (x) - x \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 9, normalized size = 1.12 \[ x \ln \relax (x )-x \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.42, size = 8, normalized size = 1.00 \[ x \log \relax (x) - x \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.02, size = 6, normalized size = 0.75 \[ x\,\left (\ln \relax (x)-1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 5, normalized size = 0.62 \[ x \log {\relax (x )} - x \]
Verification of antiderivative is not currently implemented for this CAS.
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