1. ## 2 integral problems

Hi there. I'm having some trouble solving this rational integrals:

1.$\displaystyle \int {\frac{{dx}} {{\ {\ (x-1)^2} {(x+1)} }}}$

2.$\displaystyle \int {\frac{{4xdx}} {{\ {\ (1+x)} {(1+x^2)^2} }}}$

Thank you.

2. Originally Posted by GreenMile
1.$\displaystyle \int {\frac{{dx}} {{\ {\ (x-1)^2} {(x+1)} }}}$

2.$\displaystyle \int {\frac{{4xdx}} {{\ {\ (1+x)} {(1+x^2)^2} }}}$
A good place to start might be with splitting each rational integrand into simpler fractions by using partial-fraction decomposition.