# 2 integral problems

• February 19th 2009, 12:57 AM
GreenMile
2 integral problems
Hi there. I'm having some trouble solving this rational integrals:

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

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

Thank you.
• February 19th 2009, 09:20 AM
stapel
Quote:

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

2. $\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. :D