Optimal. Leaf size=9 \[ \frac{e^{x^3}}{3} \]
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Rubi [A] time = 0.0124797, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111, Rules used = {2209} \[ \frac{e^{x^3}}{3} \]
Antiderivative was successfully verified.
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Rule 2209
Rubi steps
\begin{align*} \int e^{x^3} x^2 \, dx &=\frac{e^{x^3}}{3}\\ \end{align*}
Mathematica [A] time = 0.0011421, size = 9, normalized size = 1. \[ \frac{e^{x^3}}{3} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.002, size = 7, normalized size = 0.8 \begin{align*}{\frac{{{\rm e}^{{x}^{3}}}}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.952204, size = 8, normalized size = 0.89 \begin{align*} \frac{1}{3} \, e^{\left (x^{3}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0.490013, size = 18, normalized size = 2. \begin{align*} \frac{1}{3} \, e^{\left (x^{3}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.082264, size = 5, normalized size = 0.56 \begin{align*} \frac{e^{x^{3}}}{3} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.1016, size = 8, normalized size = 0.89 \begin{align*} \frac{1}{3} \, e^{\left (x^{3}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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