Optimal. Leaf size=23 \[ \frac{2 x^{5/2}}{5}+\frac{2 x^{3/2}}{15}-2 \log (x) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0025672, antiderivative size = 23, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 0, integrand size = 20, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \frac{2 x^{5/2}}{5}+\frac{2 x^{3/2}}{15}-2 \log (x) \]
Antiderivative was successfully verified.
[In]
[Out]
Rubi steps
\begin{align*} \int \left (-\frac{2}{x}+\frac{\sqrt{x}}{5}+x^{3/2}\right ) \, dx &=\frac{2 x^{3/2}}{15}+\frac{2 x^{5/2}}{5}-2 \log (x)\\ \end{align*}
Mathematica [A] time = 0.0074627, size = 23, normalized size = 1. \[ \frac{2 x^{5/2}}{5}+\frac{2 x^{3/2}}{15}-2 \log (x) \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0., size = 16, normalized size = 0.7 \begin{align*}{\frac{2}{15}{x}^{{\frac{3}{2}}}}+{\frac{2}{5}{x}^{{\frac{5}{2}}}}-2\,\ln \left ( x \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0.961844, size = 20, normalized size = 0.87 \begin{align*} \frac{2}{5} \, x^{\frac{5}{2}} + \frac{2}{15} \, x^{\frac{3}{2}} - 2 \, \log \left (x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 2.16926, size = 58, normalized size = 2.52 \begin{align*} \frac{2}{15} \,{\left (3 \, x^{2} + x\right )} \sqrt{x} - 4 \, \log \left (\sqrt{x}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.058089, size = 20, normalized size = 0.87 \begin{align*} \frac{2 x^{\frac{5}{2}}}{5} + \frac{2 x^{\frac{3}{2}}}{15} - 2 \log{\left (x \right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.06504, size = 22, normalized size = 0.96 \begin{align*} \frac{2}{5} \, x^{\frac{5}{2}} + \frac{2}{15} \, x^{\frac{3}{2}} - 2 \, \log \left ({\left | x \right |}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]