Optimal. Leaf size=35 \[ \text{CannotIntegrate}\left (x^m e^{3 a^2 b x+a^3+3 a b^2 x^2+b^3 x^3},x\right ) \]
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Rubi [A] time = 0.0923404, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \int e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} x^m \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} x^m \, dx &=\int e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} x^m \, dx\\ \end{align*}
Mathematica [A] time = 0.181297, size = 0, normalized size = 0. \[ \int e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} x^m \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.027, size = 0, normalized size = 0. \begin{align*} \int{{\rm e}^{{b}^{3}{x}^{3}+3\,a{b}^{2}{x}^{2}+3\,{a}^{2}bx+{a}^{3}}}{x}^{m}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int x^{m} e^{\left (b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right )}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (x^{m} e^{\left (b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right )}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [F(-1)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Timed out} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int x^{m} e^{\left (b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right )}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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