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Thread: 2 integral problems

  1. #1
    Junior Member
    Joined
    Oct 2008
    Posts
    41

    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.
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  2. #2
    MHF Contributor
    Joined
    Mar 2007
    Posts
    1,240

    Talking

    Quote Originally Posted by GreenMile View Post
    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.
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