Optimal. Leaf size=9 \[ -\frac {2}{3 x^{3/2}} \]
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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} \[ -\frac {2}{3 x^{3/2}} \]
Antiderivative was successfully verified.
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Rule 30
Rubi steps
\begin {align*} \int \frac {1}{x^{5/2}} \, dx &=-\frac {2}{3 x^{3/2}}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 1.00 \[ -\frac {2}{3 x^{3/2}} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 5, normalized size = 0.56 \[ -\frac {2}{3 \, x^{\frac {3}{2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.92, size = 5, normalized size = 0.56 \[ -\frac {2}{3 \, x^{\frac {3}{2}}} \]
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 \[ -\frac {2}{3 x^{\frac {3}{2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.62, size = 5, normalized size = 0.56 \[ -\frac {2}{3 \, x^{\frac {3}{2}}} \]
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 \[ -\frac {2}{3\,x^{3/2}} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 8, normalized size = 0.89 \[ - \frac {2}{3 x^{\frac {3}{2}}} \]
Verification of antiderivative is not currently implemented for this CAS.
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