Optimal. Leaf size=15 \[ 16 \left (x+\frac {811801 (1+x+\log (4))^2}{10000}\right ) \]
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Rubi [A]
time = 0.00, antiderivative size = 15, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.077, Rules used = {9}
\begin {gather*} \frac {(811801 x+816801+811801 \log (4))^2}{507375625} \end {gather*}
Antiderivative was successfully verified.
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Rule 9
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {(816801+811801 x+811801 \log (4))^2}{507375625}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 20, normalized size = 1.33 \begin {gather*} \frac {2}{625} \left (816801 x+\frac {811801 x^2}{2}+811801 x \log (4)\right ) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.50, size = 15, normalized size = 1.00
method | result | size |
gosper | \(\frac {x \left (811801 x +3247204 \ln \left (2\right )+1633602\right )}{625}\) | \(13\) |
default | \(\frac {3247204 x \ln \left (2\right )}{625}+\frac {811801 x^{2}}{625}+\frac {1633602 x}{625}\) | \(15\) |
norman | \(\left (\frac {3247204 \ln \left (2\right )}{625}+\frac {1633602}{625}\right ) x +\frac {811801 x^{2}}{625}\) | \(15\) |
risch | \(\frac {3247204 x \ln \left (2\right )}{625}+\frac {811801 x^{2}}{625}+\frac {1633602 x}{625}\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.28, size = 14, normalized size = 0.93 \begin {gather*} \frac {811801}{625} \, x^{2} + \frac {3247204}{625} \, x \log \left (2\right ) + \frac {1633602}{625} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.36, size = 14, normalized size = 0.93 \begin {gather*} \frac {811801}{625} \, x^{2} + \frac {3247204}{625} \, x \log \left (2\right ) + \frac {1633602}{625} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 17, normalized size = 1.13 \begin {gather*} \frac {811801 x^{2}}{625} + x \left (\frac {1633602}{625} + \frac {3247204 \log {\left (2 \right )}}{625}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 14, normalized size = 0.93 \begin {gather*} \frac {811801}{625} \, x^{2} + \frac {3247204}{625} \, x \log \left (2\right ) + \frac {1633602}{625} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.07, size = 14, normalized size = 0.93 \begin {gather*} \frac {811801\,x^2}{625}+\left (\frac {3247204\,\ln \left (2\right )}{625}+\frac {1633602}{625}\right )\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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