Optimal. Leaf size=15 \[ -5+x (-1-x+5 (-1+\log (x))) \]
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Rubi [A] time = 0.00, antiderivative size = 14, normalized size of antiderivative = 0.93, number of steps used = 2, number of rules used = 1, integrand size = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {2295} \begin {gather*} -x^2-6 x+5 x \log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 2295
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-x-x^2+5 \int \log (x) \, dx\\ &=-6 x-x^2+5 x \log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 14, normalized size = 0.93 \begin {gather*} -6 x-x^2+5 x \log (x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.59, size = 14, normalized size = 0.93 \begin {gather*} -x^{2} + 5 \, x \log \relax (x) - 6 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.20, size = 14, normalized size = 0.93 \begin {gather*} -x^{2} + 5 \, x \log \relax (x) - 6 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 15, normalized size = 1.00
method | result | size |
default | \(-x^{2}-6 x +5 x \ln \relax (x )\) | \(15\) |
norman | \(-x^{2}-6 x +5 x \ln \relax (x )\) | \(15\) |
risch | \(-x^{2}-6 x +5 x \ln \relax (x )\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.37, size = 14, normalized size = 0.93 \begin {gather*} -x^{2} + 5 \, x \log \relax (x) - 6 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 5.13, size = 10, normalized size = 0.67 \begin {gather*} -x\,\left (x-5\,\ln \relax (x)+6\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.10, size = 12, normalized size = 0.80 \begin {gather*} - x^{2} + 5 x \log {\relax (x )} - 6 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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