Optimal. Leaf size=15 \[ 2 x^{7/2}-2 x^{5/2} \]
[Out]
________________________________________________________________________________________
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 = {} \[ 2 x^{7/2}-2 x^{5/2} \]
Antiderivative was successfully verified.
[In]
[Out]
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*}
________________________________________________________________________________________
Mathematica [A] time = 0.00, size = 10, normalized size = 0.67 \[ 2 (x-1) x^{5/2} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
fricas [A] time = 0.44, size = 14, normalized size = 0.93 \[ 2 \, {\left (x^{3} - x^{2}\right )} \sqrt {x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
giac [A] time = 0.89, size = 11, normalized size = 0.73 \[ 2 \, x^{\frac {7}{2}} - 2 \, x^{\frac {5}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maple [A] time = 0.00, size = 9, normalized size = 0.60 \[ 2 \left (x -1\right ) x^{\frac {5}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
maxima [A] time = 1.01, size = 11, normalized size = 0.73 \[ 2 \, x^{\frac {7}{2}} - 2 \, x^{\frac {5}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
mupad [B] time = 0.03, size = 8, normalized size = 0.53 \[ 2\,x^{5/2}\,\left (x-1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
sympy [A] time = 0.06, size = 12, normalized size = 0.80 \[ 2 x^{\frac {7}{2}} - 2 x^{\frac {5}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________