Optimal. Leaf size=9 \[ \frac{2 x^{7/2}}{7} \]
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Rubi [A] time = 0.000528, 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} \[ \frac{2 x^{7/2}}{7} \]
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin{align*} \int x^{5/2} \, dx &=\frac{2 x^{7/2}}{7}\\ \end{align*}
Mathematica [A] time = 0.000643, size = 9, normalized size = 1. \[ \frac{2 x^{7/2}}{7} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.002, size = 6, normalized size = 0.7 \begin{align*}{\frac{2}{7}{x}^{{\frac{7}{2}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.977138, size = 7, normalized size = 0.78 \begin{align*} \frac{2}{7} \, x^{\frac{7}{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.58773, size = 18, normalized size = 2. \begin{align*} \frac{2}{7} \, x^{\frac{7}{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.050961, size = 7, normalized size = 0.78 \begin{align*} \frac{2 x^{\frac{7}{2}}}{7} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.1065, size = 7, normalized size = 0.78 \begin{align*} \frac{2}{7} \, x^{\frac{7}{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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