Optimal. Leaf size=23 \[ x \left (-3+\frac {3 x}{\log (2)}+\frac {1}{81} \left (5-\log \left (\frac {5}{2}\right )\right )\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 24, normalized size of antiderivative = 1.04, number of steps used = 1, number of rules used = 1, integrand size = 23, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.043, Rules used = {9} \begin {gather*} \frac {\left (486 x-\log (2) \left (238+\log \left (\frac {5}{2}\right )\right )\right )^2}{78732 \log (2)} \end {gather*}
Antiderivative was successfully verified.
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Rule 9
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {\left (486 x-\log (2) \left (238+\log \left (\frac {5}{2}\right )\right )\right )^2}{78732 \log (2)}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.01, size = 23, normalized size = 1.00 \begin {gather*} \frac {3 x^2}{\log (2)}+\frac {1}{81} x \left (-238-\log \left (\frac {5}{2}\right )\right ) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.21, size = 23, normalized size = 1.00 \begin {gather*} \frac {243 \, x^{2} + {\left (x \log \left (\frac {2}{5}\right ) - 238 \, x\right )} \log \relax (2)}{81 \, \log \relax (2)} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.20, size = 20, normalized size = 0.87 \begin {gather*} \frac {x {\left (\log \left (\frac {2}{5}\right ) - 238\right )} \log \relax (2) + 243 \, x^{2}}{81 \, \log \relax (2)} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 21, normalized size = 0.91
method | result | size |
gosper | \(\frac {x \left (\ln \relax (2) \ln \left (\frac {2}{5}\right )-238 \ln \relax (2)+243 x \right )}{81 \ln \relax (2)}\) | \(21\) |
default | \(\frac {\left (\ln \left (\frac {2}{5}\right )-238\right ) \ln \relax (2) x +243 x^{2}}{81 \ln \relax (2)}\) | \(21\) |
norman | \(\left (\frac {\ln \relax (2)}{81}-\frac {\ln \relax (5)}{81}-\frac {238}{81}\right ) x +\frac {3 x^{2}}{\ln \relax (2)}\) | \(23\) |
risch | \(\frac {x \ln \relax (2)}{81}-\frac {x \ln \relax (5)}{81}-\frac {238 x}{81}+\frac {3 x^{2}}{\ln \relax (2)}\) | \(24\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.37, size = 20, normalized size = 0.87 \begin {gather*} \frac {x {\left (\log \left (\frac {2}{5}\right ) - 238\right )} \log \relax (2) + 243 \, x^{2}}{81 \, \log \relax (2)} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 7.95, size = 20, normalized size = 0.87 \begin {gather*} \frac {{\left (6\,x+\frac {\ln \relax (2)\,\left (\ln \left (\frac {2}{5}\right )-238\right )}{81}\right )}^2}{12\,\ln \relax (2)} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 22, normalized size = 0.96 \begin {gather*} \frac {3 x^{2}}{\log {\relax (2 )}} + x \left (- \frac {238}{81} - \frac {\log {\relax (5 )}}{81} + \frac {\log {\relax (2 )}}{81}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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