Optimal. Leaf size=15 \[ \frac{9}{25} \left (x^{5/3}+1\right )^{5/3} \]
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Rubi [A] time = 0.0031098, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 17, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.059, Rules used = {261} \[ \frac{9}{25} \left (x^{5/3}+1\right )^{5/3} \]
Antiderivative was successfully verified.
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Rule 261
Rubi steps
\begin{align*} \int x^{2/3} \left (1+x^{5/3}\right )^{2/3} \, dx &=\frac{9}{25} \left (1+x^{5/3}\right )^{5/3}\\ \end{align*}
Mathematica [A] time = 0.0044365, size = 15, normalized size = 1. \[ \frac{9}{25} \left (x^{5/3}+1\right )^{5/3} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 10, normalized size = 0.7 \begin{align*}{\frac{9}{25} \left ( 1+{x}^{{\frac{5}{3}}} \right ) ^{{\frac{5}{3}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.975876, size = 12, normalized size = 0.8 \begin{align*} \frac{9}{25} \,{\left (x^{\frac{5}{3}} + 1\right )}^{\frac{5}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [F(-1)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Timed out} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [B] time = 2.11386, size = 31, normalized size = 2.07 \begin{align*} \frac{9 x^{\frac{5}{3}} \left (x^{\frac{5}{3}} + 1\right )^{\frac{2}{3}}}{25} + \frac{9 \left (x^{\frac{5}{3}} + 1\right )^{\frac{2}{3}}}{25} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.21286, size = 12, normalized size = 0.8 \begin{align*} \frac{9}{25} \,{\left (x^{\frac{5}{3}} + 1\right )}^{\frac{5}{3}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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