Optimal. Leaf size=33 \[ e^{-x^2} x^2 \left (-e^2+\log \left (4+\left (e^{e^{e^3}}-x\right )^2\right )\right ) \]
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Rubi [F]
time = 180.43, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps
used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} \text {\$Aborted} \end {gather*}
Verification is not applicable to the result.
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Rubi steps
Aborted
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Mathematica [A]
time = 0.11, size = 43, normalized size = 1.30 \begin {gather*} -e^{-x^2} x^2 \left (e^2-\log \left (4+e^{2 e^{e^3}}-2 e^{e^{e^3}} x+x^2\right )\right ) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 5.91, size = 36, normalized size = 1.09
method | result | size |
risch | \(\left (-{\mathrm e}^{2} x +x \ln \left ({\mathrm e}^{2 \,{\mathrm e}^{{\mathrm e}^{3}}}-2 x \,{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{3}}}+x^{2}+4\right )\right ) {\mathrm e}^{-x^{2}} x\) | \(36\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.33, size = 43, normalized size = 1.30 \begin {gather*} x^{2} e^{\left (-x^{2}\right )} \log \left (x^{2} - 2 \, x e^{\left (e^{\left (e^{3}\right )}\right )} + e^{\left (2 \, e^{\left (e^{3}\right )}\right )} + 4\right ) - x^{2} e^{\left (-x^{2} + 2\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.38, size = 44, normalized size = 1.33 \begin {gather*} x e^{\left (-x^{2} + \log \left (x\right )\right )} \log \left (x^{2} - 2 \, x e^{\left (e^{\left (e^{3}\right )}\right )} + e^{\left (2 \, e^{\left (e^{3}\right )}\right )} + 4\right ) - x e^{\left (-x^{2} + \log \left (x\right ) + 2\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 1.05, size = 39, normalized size = 1.18 \begin {gather*} \left (x^{2} \log {\left (x^{2} - 2 x e^{e^{e^{3}}} + 4 + e^{2 e^{e^{3}}} \right )} - x^{2} e^{2}\right ) e^{- x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.43, size = 39, normalized size = 1.18 \begin {gather*} -{\left (x^{2} e^{2} - x^{2} \log \left (x^{2} - 2 \, x e^{\left (e^{\left (e^{3}\right )}\right )} + e^{\left (2 \, e^{\left (e^{3}\right )}\right )} + 4\right )\right )} e^{\left (-x^{2}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 2.60, size = 34, normalized size = 1.03 \begin {gather*} x^2\,{\mathrm {e}}^{-x^2}\,\left (\ln \left (x^2-2\,{\mathrm {e}}^{{\mathrm {e}}^{{\mathrm {e}}^3}}\,x+{\mathrm {e}}^{2\,{\mathrm {e}}^{{\mathrm {e}}^3}}+4\right )-{\mathrm {e}}^2\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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