Optimal. Leaf size=9 \[ \frac{2 x^{5/2}}{5} \]
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Rubi [A] time = 0.0004273, 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} \[ \frac{2 x^{5/2}}{5} \]
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin{align*} \int x^{3/2} \, dx &=\frac{2 x^{5/2}}{5}\\ \end{align*}
Mathematica [A] time = 0.0023685, size = 9, normalized size = 1. \[ \frac{2 x^{5/2}}{5} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 6, normalized size = 0.7 \begin{align*}{\frac{2}{5}{x}^{{\frac{5}{2}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.97159, size = 7, normalized size = 0.78 \begin{align*} \frac{2}{5} \, x^{\frac{5}{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.3753, size = 18, normalized size = 2. \begin{align*} \frac{2}{5} \, x^{\frac{5}{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.050773, size = 7, normalized size = 0.78 \begin{align*} \frac{2 x^{\frac{5}{2}}}{5} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.09434, size = 7, normalized size = 0.78 \begin{align*} \frac{2}{5} \, x^{\frac{5}{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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