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.

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- Feb 19th 2009, 12:57 AMGreenMile2 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. - Feb 19th 2009, 09:20 AMstapel
A good place to start might be with splitting each rational integrand into simpler fractions by using

**partial-fraction decomposition**. :D