Optimal. Leaf size=12 \[ x \log \left (\frac {x}{2}\right )-x \]
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Rubi [A] time = 0.00, antiderivative size = 12, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {2295} \[ x \log \left (\frac {x}{2}\right )-x \]
Antiderivative was successfully verified.
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Rule 2295
Rubi steps
\begin {align*} \int \log \left (\frac {x}{2}\right ) \, dx &=-x+x \log \left (\frac {x}{2}\right )\\ \end {align*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 1.00 \[ x \log \left (\frac {x}{2}\right )-x \]
Antiderivative was successfully verified.
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fricas [A] time = 0.44, size = 10, normalized size = 0.83 \[ x \log \left (\frac {1}{2} \, x\right ) - x \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.01, size = 10, normalized size = 0.83 \[ x \log \left (\frac {1}{2} \, x\right ) - x \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 11, normalized size = 0.92 \[ x \ln \left (\frac {x}{2}\right )-x \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.53, size = 10, normalized size = 0.83 \[ x \log \left (\frac {1}{2} \, x\right ) - x \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.18, size = 8, normalized size = 0.67 \[ x\,\left (\ln \left (\frac {x}{2}\right )-1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.09, size = 7, normalized size = 0.58 \[ x \log {\left (\frac {x}{2} \right )} - x \]
Verification of antiderivative is not currently implemented for this CAS.
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