Optimal. Leaf size=9 \[ \frac{3 x^{4/3}}{4} \]
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Rubi [A] time = 0.0004372, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.2, Rules used = {30} \[ \frac{3 x^{4/3}}{4} \]
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin{align*} \int \sqrt [3]{x} \, dx &=\frac{3 x^{4/3}}{4}\\ \end{align*}
Mathematica [A] time = 0.0024849, size = 9, normalized size = 1. \[ \frac{3 x^{4/3}}{4} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.002, size = 6, normalized size = 0.7 \begin{align*}{\frac{3}{4}{x}^{{\frac{4}{3}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.02265, size = 7, normalized size = 0.78 \begin{align*} \frac{3}{4} \, x^{\frac{4}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.53806, size = 18, normalized size = 2. \begin{align*} \frac{3}{4} \, x^{\frac{4}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.051377, size = 7, normalized size = 0.78 \begin{align*} \frac{3 x^{\frac{4}{3}}}{4} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.09591, size = 7, normalized size = 0.78 \begin{align*} \frac{3}{4} \, x^{\frac{4}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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