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Math Help - need help with this integral

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    6

    need help with this integral

    hi i was hoping someone could help me out with solving this integral

    integral of (x^2) / ((x^4) + (x^2) +1) dx
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  2. #2
    Senior Member
    Joined
    Dec 2007
    From
    Anchorage, AK
    Posts
    276

    Partial fractions

    Use x^4+x^2+1=(x^2-x+1)(x^2+x+1) to perform a partial fraction decomposition of \frac{x^2}{x^4+x^2+1} into fractions with quadratic denominators. Completing the square and u-substitutions should allow you to find the integral in terms of logarithms and/or arctangents.

    --Kevin C.
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