Optimal. Leaf size=19 \[ -\frac{1}{2 x^2}-\frac{\log \left (x^2\right )}{2 x^2} \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0064493, antiderivative size = 19, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 8, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.125, Rules used = {2304} \[ -\frac{1}{2 x^2}-\frac{\log \left (x^2\right )}{2 x^2} \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 2304
Rubi steps
\begin{align*} \int \frac{\log \left (x^2\right )}{x^3} \, dx &=-\frac{1}{2 x^2}-\frac{\log \left (x^2\right )}{2 x^2}\\ \end{align*}
Mathematica [A] time = 0.0011705, size = 19, normalized size = 1. \[ -\frac{1}{2 x^2}-\frac{\log \left (x^2\right )}{2 x^2} \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.005, size = 16, normalized size = 0.8 \begin{align*} -{\frac{1}{2\,{x}^{2}}}-{\frac{\ln \left ({x}^{2} \right ) }{2\,{x}^{2}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0.943673, size = 20, normalized size = 1.05 \begin{align*} -\frac{\log \left (x^{2}\right )}{2 \, x^{2}} - \frac{1}{2 \, x^{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 1.58228, size = 34, normalized size = 1.79 \begin{align*} -\frac{\log \left (x^{2}\right ) + 1}{2 \, x^{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.093514, size = 17, normalized size = 0.89 \begin{align*} - \frac{\log{\left (x^{2} \right )}}{2 x^{2}} - \frac{1}{2 x^{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.0904, size = 20, normalized size = 1.05 \begin{align*} -\frac{\log \left (x^{2}\right )}{2 \, x^{2}} - \frac{1}{2 \, x^{2}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]