Optimal. Leaf size=17 \[ 2+\frac {6 \left (5+\frac {64+\log (4)}{x}\right )}{x} \]
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Rubi [A] time = 0.01, antiderivative size = 25, normalized size of antiderivative = 1.47, 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 = {37} \begin {gather*} \frac {3 (5 x+2 (64+\log (4)))^2}{2 x^2 (64+\log (4))} \end {gather*}
Antiderivative was successfully verified.
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Rule 37
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {3 (5 x+2 (64+\log (4)))^2}{2 x^2 (64+\log (4))}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 12, normalized size = 0.71 \begin {gather*} \frac {3 (128+10 x+\log (16))}{x^2} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.51, size = 14, normalized size = 0.82 \begin {gather*} \frac {6 \, {\left (5 \, x + 2 \, \log \relax (2) + 64\right )}}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.27, size = 14, normalized size = 0.82 \begin {gather*} \frac {6 \, {\left (5 \, x + 2 \, \log \relax (2) + 64\right )}}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.04, size = 14, normalized size = 0.82
method | result | size |
norman | \(\frac {30 x +12 \ln \relax (2)+384}{x^{2}}\) | \(14\) |
risch | \(\frac {30 x +12 \ln \relax (2)+384}{x^{2}}\) | \(14\) |
gosper | \(\frac {30 x +12 \ln \relax (2)+384}{x^{2}}\) | \(15\) |
default | \(-\frac {3 \left (-4 \ln \relax (2)-128\right )}{x^{2}}+\frac {30}{x}\) | \(18\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 14, normalized size = 0.82 \begin {gather*} \frac {6 \, {\left (5 \, x + 2 \, \log \relax (2) + 64\right )}}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.05, size = 13, normalized size = 0.76 \begin {gather*} \frac {30\,x+12\,\ln \relax (2)+384}{x^2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.14, size = 15, normalized size = 0.88 \begin {gather*} - \frac {- 30 x - 384 - 12 \log {\relax (2 )}}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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