Optimal. Leaf size=9 \[ \frac{3 x^{2/3}}{2} \]
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Rubi [A] time = 0.0004063, 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} \[ \frac{3 x^{2/3}}{2} \]
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin{align*} \int \frac{1}{\sqrt [3]{x}} \, dx &=\frac{3 x^{2/3}}{2}\\ \end{align*}
Mathematica [A] time = 0.0015627, size = 9, normalized size = 1. \[ \frac{3 x^{2/3}}{2} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.002, size = 6, normalized size = 0.7 \begin{align*}{\frac{3}{2}{x}^{{\frac{2}{3}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.01689, size = 7, normalized size = 0.78 \begin{align*} \frac{3}{2} \, x^{\frac{2}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.34488, size = 18, normalized size = 2. \begin{align*} \frac{3}{2} \, x^{\frac{2}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.051862, size = 7, normalized size = 0.78 \begin{align*} \frac{3 x^{\frac{2}{3}}}{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.11525, size = 7, normalized size = 0.78 \begin{align*} \frac{3}{2} \, x^{\frac{2}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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