Optimal. Leaf size=19 \[ 6-x \left ((-5+x)^2+x\right )-\log (x \log (5)) \]
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Rubi [A] time = 0.01, antiderivative size = 18, normalized size of antiderivative = 0.95, number of steps used = 2, number of rules used = 1, integrand size = 19, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.053, Rules used = {14} \begin {gather*} -x^3+9 x^2-25 x-\log (x) \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (-25-\frac {1}{x}+18 x-3 x^2\right ) \, dx\\ &=-25 x+9 x^2-x^3-\log (x)\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 18, normalized size = 0.95 \begin {gather*} -25 x+9 x^2-x^3-\log (x) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.66, size = 18, normalized size = 0.95 \begin {gather*} -x^{3} + 9 \, x^{2} - 25 \, x - \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.17, size = 19, normalized size = 1.00 \begin {gather*} -x^{3} + 9 \, x^{2} - 25 \, x - \log \left ({\left | x \right |}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 19, normalized size = 1.00
method | result | size |
default | \(-x^{3}+9 x^{2}-25 x -\ln \relax (x )\) | \(19\) |
norman | \(-x^{3}+9 x^{2}-25 x -\ln \relax (x )\) | \(19\) |
risch | \(-x^{3}+9 x^{2}-25 x -\ln \relax (x )\) | \(19\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.49, size = 18, normalized size = 0.95 \begin {gather*} -x^{3} + 9 \, x^{2} - 25 \, x - \log \relax (x) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 18, normalized size = 0.95 \begin {gather*} 9\,x^2-\ln \relax (x)-25\,x-x^3 \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.07, size = 14, normalized size = 0.74 \begin {gather*} - x^{3} + 9 x^{2} - 25 x - \log {\relax (x )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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