Optimal. Leaf size=20 \[ x+9 (3-x) x \left (19-e^{24}+\log (\log (3))\right ) \]
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Rubi [A]
time = 0.01, antiderivative size = 37, normalized size of antiderivative = 1.85, number of steps
used = 1, number of rules used = 0, integrand size = 23, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} -171 x^2+\frac {9}{4} e^{24} (3-2 x)^2+514 x-\frac {9}{4} (3-2 x)^2 \log (\log (3)) \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {9}{4} e^{24} (3-2 x)^2+514 x-171 x^2-\frac {9}{4} (3-2 x)^2 \log (\log (3))\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.01, size = 34, normalized size = 1.70 \begin {gather*} 514 x-27 e^{24} x+9 e^{24} x^2+27 x \log (\log (3))-9 x^2 (19+\log (\log (3))) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.38, size = 36, normalized size = 1.80
method | result | size |
gosper | \(x \left (9 \,{\mathrm e}^{24} x -9 \ln \left (\ln \left (3\right )\right ) x -27 \,{\mathrm e}^{24}+27 \ln \left (\ln \left (3\right )\right )-171 x +514\right )\) | \(28\) |
norman | \(\left (-9 \ln \left (\ln \left (3\right )\right )+9 \,{\mathrm e}^{24}-171\right ) x^{2}+\left (-27 \,{\mathrm e}^{24}+27 \ln \left (\ln \left (3\right )\right )+514\right ) x\) | \(30\) |
default | \(9 \,{\mathrm e}^{24} x^{2}-9 x^{2} \ln \left (\ln \left (3\right )\right )-27 \,{\mathrm e}^{24} x +27 \ln \left (\ln \left (3\right )\right ) x -171 x^{2}+514 x\) | \(36\) |
risch | \(9 \,{\mathrm e}^{24} x^{2}-9 x^{2} \ln \left (\ln \left (3\right )\right )-27 \,{\mathrm e}^{24} x +27 \ln \left (\ln \left (3\right )\right ) x -171 x^{2}+514 x\) | \(36\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.29, size = 32, normalized size = 1.60 \begin {gather*} -171 \, x^{2} + 9 \, {\left (x^{2} - 3 \, x\right )} e^{24} - 9 \, {\left (x^{2} - 3 \, x\right )} \log \left (\log \left (3\right )\right ) + 514 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.39, size = 32, normalized size = 1.60 \begin {gather*} -171 \, x^{2} + 9 \, {\left (x^{2} - 3 \, x\right )} e^{24} - 9 \, {\left (x^{2} - 3 \, x\right )} \log \left (\log \left (3\right )\right ) + 514 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 31, normalized size = 1.55 \begin {gather*} x^{2} \left (-171 - 9 \log {\left (\log {\left (3 \right )} \right )} + 9 e^{24}\right ) + x \left (- 27 e^{24} + 27 \log {\left (\log {\left (3 \right )} \right )} + 514\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 32, normalized size = 1.60 \begin {gather*} -171 \, x^{2} + 9 \, {\left (x^{2} - 3 \, x\right )} e^{24} - 9 \, {\left (x^{2} - 3 \, x\right )} \log \left (\log \left (3\right )\right ) + 514 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.05, size = 30, normalized size = 1.50 \begin {gather*} x\,\left (27\,\ln \left (\ln \left (3\right )\right )-27\,{\mathrm {e}}^{24}+514\right )-x^2\,\left (9\,\ln \left (\ln \left (3\right )\right )-9\,{\mathrm {e}}^{24}+171\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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