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Math Help - 2 integral problems

  1. #1
    Junior Member
    Joined
    Oct 2008
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    41

    2 integral problems

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

    1. \int {\frac{{dx}}<br />
{{\ {\ (x-1)^2}  {(x+1)} }}} <br />

    2. \int {\frac{{4xdx}}<br />
{{\ {\ (1+x)}  {(1+x^2)^2} }}} <br />

    Thank you.
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  2. #2
    MHF Contributor
    Joined
    Mar 2007
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    1,240

    Talking

    Quote Originally Posted by GreenMile View Post
    1. \int {\frac{{dx}}<br />
{{\ {\ (x-1)^2}  {(x+1)} }}} <br />

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