Optimal. Leaf size=17 \[ \frac{2 x^{5/2}}{5}-\frac{2}{\sqrt{x}} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0018102, antiderivative size = 17, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \frac{2 x^{5/2}}{5}-\frac{2}{\sqrt{x}} \]
Antiderivative was successfully verified.
[In]
[Out]
Rubi steps
\begin{align*} \int \left (\frac{1}{x^{3/2}}+x^{3/2}\right ) \, dx &=-\frac{2}{\sqrt{x}}+\frac{2 x^{5/2}}{5}\\ \end{align*}
Mathematica [A] time = 0.0041351, size = 14, normalized size = 0.82 \[ \frac{2 \left (x^3-5\right )}{5 \sqrt{x}} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.003, size = 11, normalized size = 0.7 \begin{align*}{\frac{2\,{x}^{3}-10}{5}{\frac{1}{\sqrt{x}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0.969533, size = 15, normalized size = 0.88 \begin{align*} \frac{2}{5} \, x^{\frac{5}{2}} - \frac{2}{\sqrt{x}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 2.18133, size = 31, normalized size = 1.82 \begin{align*} \frac{2 \,{\left (x^{3} - 5\right )}}{5 \, \sqrt{x}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.053506, size = 14, normalized size = 0.82 \begin{align*} \frac{2 x^{\frac{5}{2}}}{5} - \frac{2}{\sqrt{x}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.04802, size = 15, normalized size = 0.88 \begin{align*} \frac{2}{5} \, x^{\frac{5}{2}} - \frac{2}{\sqrt{x}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]