Optimal. Leaf size=19 \[ 16 e^4+x (3+2 x)+2 x \log (\log (3)) \]
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Rubi [A] time = 0.01, antiderivative size = 15, normalized size of antiderivative = 0.79, number of steps used = 1, number of rules used = 0, integrand size = 10, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} 2 x^2+x (3+2 \log (\log (3))) \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=2 x^2+x (3+2 \log (\log (3)))\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 15, normalized size = 0.79 \begin {gather*} 3 x+2 x^2+2 x \log (\log (3)) \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.63, size = 15, normalized size = 0.79 \begin {gather*} 2 \, x^{2} + 2 \, x \log \left (\log \relax (3)\right ) + 3 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.15, size = 15, normalized size = 0.79 \begin {gather*} 2 \, x^{2} + 2 \, x \log \left (\log \relax (3)\right ) + 3 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 16, normalized size = 0.84
method | result | size |
gosper | \(2 \ln \left (\ln \relax (3)\right ) x +2 x^{2}+3 x\) | \(16\) |
default | \(2 \ln \left (\ln \relax (3)\right ) x +2 x^{2}+3 x\) | \(16\) |
norman | \(2 x^{2}+\left (2 \ln \left (\ln \relax (3)\right )+3\right ) x\) | \(16\) |
risch | \(2 \ln \left (\ln \relax (3)\right ) x +2 x^{2}+3 x\) | \(16\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.34, size = 15, normalized size = 0.79 \begin {gather*} 2 \, x^{2} + 2 \, x \log \left (\log \relax (3)\right ) + 3 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 7.03, size = 15, normalized size = 0.79 \begin {gather*} 2\,x^2+\left (2\,\ln \left (\ln \relax (3)\right )+3\right )\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 14, normalized size = 0.74 \begin {gather*} 2 x^{2} + x \left (2 \log {\left (\log {\relax (3 )} \right )} + 3\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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