Optimal. Leaf size=15 \[ -2 x^{5/2}+2 x^{7/2} \]
[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 = {}
\begin {gather*} 2 x^{7/2}-2 x^{5/2} \end {gather*}
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 = 0.01, size = 10, normalized size = 0.67 \begin {gather*} 2 (-1+x) x^{5/2} \end {gather*}
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A]
time = 0.04, size = 12, normalized size = 0.80
method | result | size |
gosper | \(2 x^{\frac {5}{2}} \left (-1+x \right )\) | \(9\) |
trager | \(2 x^{\frac {5}{2}} \left (-1+x \right )\) | \(9\) |
derivativedivides | \(-2 x^{\frac {5}{2}}+2 x^{\frac {7}{2}}\) | \(12\) |
default | \(-2 x^{\frac {5}{2}}+2 x^{\frac {7}{2}}\) | \(12\) |
risch | \(-2 x^{\frac {5}{2}}+2 x^{\frac {7}{2}}\) | \(12\) |
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A]
time = 0.26, 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.
[In]
[Out]
________________________________________________________________________________________
Fricas [A]
time = 0.60, 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.
[In]
[Out]
________________________________________________________________________________________
Sympy [A]
time = 0.01, 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.
[In]
[Out]
________________________________________________________________________________________
Giac [A]
time = 1.83, 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.
[In]
[Out]
________________________________________________________________________________________
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.
[In]
[Out]
________________________________________________________________________________________