Optimal. Leaf size=9 \[ 3 e^{\sqrt [3]{x}} \]
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Rubi [A] time = 0.0109865, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077, Rules used = {2209} \[ 3 e^{\sqrt [3]{x}} \]
Antiderivative was successfully verified.
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Rule 2209
Rubi steps
\begin{align*} \int \frac{e^{\sqrt [3]{x}}}{x^{2/3}} \, dx &=3 e^{\sqrt [3]{x}}\\ \end{align*}
Mathematica [A] time = 0.0018391, size = 9, normalized size = 1. \[ 3 e^{\sqrt [3]{x}} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.02, size = 7, normalized size = 0.8 \begin{align*} 3\,{{\rm e}^{\sqrt [3]{x}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.95909, size = 8, normalized size = 0.89 \begin{align*} 3 \, e^{\left (x^{\frac{1}{3}}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0.803634, size = 20, normalized size = 2.22 \begin{align*} 3 \, e^{\left (x^{\frac{1}{3}}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.372059, size = 7, normalized size = 0.78 \begin{align*} 3 e^{\sqrt [3]{x}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.27028, size = 8, normalized size = 0.89 \begin{align*} 3 \, e^{\left (x^{\frac{1}{3}}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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