Optimal. Leaf size=14 \[ a x+\frac{3}{2} b x^{2/3} \]
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Rubi [A] time = 0.0024813, antiderivative size = 14, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ a x+\frac{3}{2} b x^{2/3} \]
Antiderivative was successfully verified.
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Rubi steps
\begin{align*} \int \left (a+\frac{b}{\sqrt [3]{x}}\right ) \, dx &=\frac{3}{2} b x^{2/3}+a x\\ \end{align*}
Mathematica [A] time = 0.0013922, size = 14, normalized size = 1. \[ a x+\frac{3}{2} b x^{2/3} \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 11, normalized size = 0.8 \begin{align*}{\frac{3\,b}{2}{x}^{{\frac{2}{3}}}}+ax \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.954113, size = 14, normalized size = 1. \begin{align*} a x + \frac{3}{2} \, b x^{\frac{2}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.45375, size = 28, normalized size = 2. \begin{align*} a x + \frac{3}{2} \, b x^{\frac{2}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.052958, size = 12, normalized size = 0.86 \begin{align*} a x + \frac{3 b x^{\frac{2}{3}}}{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.19227, size = 14, normalized size = 1. \begin{align*} a x + \frac{3}{2} \, b x^{\frac{2}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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