Optimal. Leaf size=9 \[ \frac {2 x^{5/2}}{5} \]
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Rubi [A] time = 0.00, antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, Rules used = {30} \begin {gather*} \frac {2 x^{5/2}}{5} \end {gather*}
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*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 1.00 \begin {gather*} \frac {2 x^{5/2}}{5} \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [A] time = 0.00, size = 9, normalized size = 1.00 \begin {gather*} \frac {2 x^{5/2}}{5} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.55, size = 5, normalized size = 0.56 \begin {gather*} \frac {2}{5} \, x^{\frac {5}{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.98, size = 5, normalized size = 0.56 \begin {gather*} \frac {2}{5} \, x^{\frac {5}{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 6, normalized size = 0.67 \begin {gather*} \frac {2 x^{\frac {5}{2}}}{5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.42, size = 5, normalized size = 0.56 \begin {gather*} \frac {2}{5} \, x^{\frac {5}{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 5, normalized size = 0.56 \begin {gather*} \frac {2\,x^{5/2}}{5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 7, normalized size = 0.78 \begin {gather*} \frac {2 x^{\frac {5}{2}}}{5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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