Optimal. Leaf size=15 \[ \frac{x^4}{12}+\frac{x^3}{6} \]
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Rubi [A] time = 0.0019564, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 15, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \frac{x^4}{12}+\frac{x^3}{6} \]
Antiderivative was successfully verified.
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Rubi steps
\begin{align*} \int \left (\frac{x^2}{2}+\frac{x^3}{3}\right ) \, dx &=\frac{x^3}{6}+\frac{x^4}{12}\\ \end{align*}
Mathematica [A] time = 0.0000454, size = 15, normalized size = 1. \[ \frac{x^4}{12}+\frac{x^3}{6} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 12, normalized size = 0.8 \begin{align*}{\frac{{x}^{3}}{6}}+{\frac{{x}^{4}}{12}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.974128, size = 15, normalized size = 1. \begin{align*} \frac{1}{12} \, x^{4} + \frac{1}{6} \, x^{3} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.89879, size = 27, normalized size = 1.8 \begin{align*} \frac{1}{12} x^{4} + \frac{1}{6} x^{3} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.050445, size = 8, normalized size = 0.53 \begin{align*} \frac{x^{4}}{12} + \frac{x^{3}}{6} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.09694, size = 15, normalized size = 1. \begin{align*} \frac{1}{12} \, x^{4} + \frac{1}{6} \, x^{3} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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