Optimal. Leaf size=7 \[ 3 \sqrt [3]{x} \]
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Rubi [A] time = 0.0004344, antiderivative size = 7, 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} \[ 3 \sqrt [3]{x} \]
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin{align*} \int \frac{1}{x^{2/3}} \, dx &=3 \sqrt [3]{x}\\ \end{align*}
Mathematica [A] time = 0.0007684, size = 7, normalized size = 1. \[ 3 \sqrt [3]{x} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 6, normalized size = 0.9 \begin{align*} 3\,\sqrt [3]{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.03224, size = 7, normalized size = 1. \begin{align*} 3 \, x^{\frac{1}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.4012, size = 15, normalized size = 2.14 \begin{align*} 3 \, x^{\frac{1}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.051347, size = 5, normalized size = 0.71 \begin{align*} 3 \sqrt [3]{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.09975, size = 7, normalized size = 1. \begin{align*} 3 \, x^{\frac{1}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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