Learn how to solve problems step by step online. Find the integral int((x^2)/((x-1)^2(x+1)^2))dx. Rewrite the fraction \frac{x^2}{\left(x-1\right)^2\left(x+1\right)^2} in 4 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{4\left(x-1\right)^2}+\frac{1}{4\left(x+1\right)^2}+\frac{1}{4\left(x-1\right)}+\frac{-1}{4\left(x+1\right)}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{4\left(x-1\right)^2}dx results in: \frac{-1}{4\left(x-1\right)}. The integral \int\frac{1}{4\left(x+1\right)^2}dx results in: \frac{-1}{4\left(x+1\right)}.

Find the integral int((x^2)/((x-1)^2(x+1)^2))dx