Optimal. Leaf size=11 \[ \frac{e^{4 x^3}}{12} \]
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Rubi [A] time = 0.0143383, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091, Rules used = {2209} \[ \frac{e^{4 x^3}}{12} \]
Antiderivative was successfully verified.
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Rule 2209
Rubi steps
\begin{align*} \int e^{4 x^3} x^2 \, dx &=\frac{e^{4 x^3}}{12}\\ \end{align*}
Mathematica [A] time = 0.001619, size = 11, normalized size = 1. \[ \frac{e^{4 x^3}}{12} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.003, size = 9, normalized size = 0.8 \begin{align*}{\frac{{{\rm e}^{4\,{x}^{3}}}}{12}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.18386, size = 11, normalized size = 1. \begin{align*} \frac{1}{12} \, e^{\left (4 \, x^{3}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.79657, size = 22, normalized size = 2. \begin{align*} \frac{1}{12} \, e^{\left (4 \, x^{3}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.084682, size = 7, normalized size = 0.64 \begin{align*} \frac{e^{4 x^{3}}}{12} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.24131, size = 11, normalized size = 1. \begin{align*} \frac{1}{12} \, e^{\left (4 \, x^{3}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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