Optimal. Leaf size=11 \[ x+6 (x-x \log (4)) \]
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Rubi [A] time = 0.00, antiderivative size = 8, normalized size of antiderivative = 0.73, number of steps used = 1, number of rules used = 1, integrand size = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {8} \begin {gather*} x (7-6 \log (4)) \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=x (7-6 \log (4))\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 0.82 \begin {gather*} 7 x-6 x \log (4) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.90, size = 9, normalized size = 0.82 \begin {gather*} -12 \, x \log \relax (2) + 7 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.20, size = 9, normalized size = 0.82 \begin {gather*} -x {\left (12 \, \log \relax (2) - 7\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 9, normalized size = 0.82
method | result | size |
default | \(\left (-12 \ln \relax (2)+7\right ) x\) | \(9\) |
norman | \(\left (-12 \ln \relax (2)+7\right ) x\) | \(9\) |
risch | \(7 x -12 x \ln \relax (2)\) | \(10\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 9, normalized size = 0.82 \begin {gather*} -x {\left (12 \, \log \relax (2) - 7\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 9, normalized size = 0.82 \begin {gather*} -x\,\left (12\,\ln \relax (2)-7\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 7, normalized size = 0.64 \begin {gather*} x \left (7 - 12 \log {\relax (2 )}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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