Optimal. Leaf size=15 \[ 2 x^{7/2}-2 x^{5/2} \]
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Rubi [A] time = 0.00, antiderivative size = 15, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 0, integrand size = 15, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} 2 x^{7/2}-2 x^{5/2} \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {align*} \int \left (-5 x^{3/2}+7 x^{5/2}\right ) \, dx &=-2 x^{5/2}+2 x^{7/2}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 0.67 \begin {gather*} 2 (x-1) x^{5/2} \end {gather*}
Antiderivative was successfully verified.
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IntegrateAlgebraic [A] time = 0.01, size = 10, normalized size = 0.67 \begin {gather*} 2 (x-1) x^{5/2} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.23, size = 14, normalized size = 0.93 \begin {gather*} 2 \, {\left (x^{3} - x^{2}\right )} \sqrt {x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.89, size = 11, normalized size = 0.73 \begin {gather*} 2 \, x^{\frac {7}{2}} - 2 \, 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 = 9, normalized size = 0.60 \begin {gather*} 2 \left (x -1\right ) x^{\frac {5}{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.01, size = 11, normalized size = 0.73 \begin {gather*} 2 \, x^{\frac {7}{2}} - 2 \, 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 = 8, normalized size = 0.53 \begin {gather*} 2\,x^{5/2}\,\left (x-1\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 12, normalized size = 0.80 \begin {gather*} 2 x^{\frac {7}{2}} - 2 x^{\frac {5}{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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