Optimal. Leaf size=1 \[ x \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0004407, antiderivative size = 1, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 17, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.118, Rules used = {21, 8} \[ x \]
Antiderivative was successfully verified.
[In]
[Out]
Rule 21
Rule 8
Rubi steps
\begin{align*} \int \frac{\left (1-x^2\right )^2}{\left (-1+x^2\right )^2} \, dx &=\int 1 \, dx\\ &=x\\ \end{align*}
Mathematica [A] time = 0.0002571, size = 1, normalized size = 1. \[ x \]
Antiderivative was successfully verified.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.002, size = 2, normalized size = 2. \begin{align*} x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0.993379, size = 1, normalized size = 1. \begin{align*} x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 1.09399, size = 4, normalized size = 4. \begin{align*} x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0.054186, size = 0, normalized size = 0. \begin{align*} x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 1.17185, size = 1, normalized size = 1. \begin{align*} x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]