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.
A good place to start might be with splitting each rational integrand into simpler fractions by using partial-fraction decomposition.