Optimal. Leaf size=14 \[ 5 x (3+5 (-2+x-\log (x))) \]
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Rubi [A] time = 0.00, antiderivative size = 14, normalized size of antiderivative = 1.00, 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*} 25 x^2-35 x-25 x \log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 2295
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-60 x+25 x^2-25 \int \log (x) \, dx\\ &=-35 x+25 x^2-25 x \log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 14, normalized size = 1.00 \begin {gather*} -35 x+25 x^2-25 x \log (x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.70, size = 14, normalized size = 1.00 \begin {gather*} 25 \, x^{2} - 25 \, x \log \relax (x) - 35 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.18, size = 14, normalized size = 1.00 \begin {gather*} 25 \, x^{2} - 25 \, x \log \relax (x) - 35 \, 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 = 1.07
method | result | size |
default | \(25 x^{2}-35 x -25 x \ln \relax (x )\) | \(15\) |
norman | \(25 x^{2}-35 x -25 x \ln \relax (x )\) | \(15\) |
risch | \(25 x^{2}-35 x -25 x \ln \relax (x )\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.37, size = 14, normalized size = 1.00 \begin {gather*} 25 \, x^{2} - 25 \, x \log \relax (x) - 35 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 2.14, size = 12, normalized size = 0.86 \begin {gather*} -5\,x\,\left (5\,\ln \relax (x)-5\,x+7\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.09, size = 14, normalized size = 1.00 \begin {gather*} 25 x^{2} - 25 x \log {\relax (x )} - 35 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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