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Math Help - Integration Problem

  1. #1
    Newbie
    Joined
    May 2009
    Posts
    17

    Integration Problem

    Hi again,

    Can anyone help me integrate the following problem:

    \int_{1}^{2}\frac{e^\frac{1}{x} - x^2}{x^2e^\frac{1}{x} + x^3}dx

    I'm not sure what to use for my substitution (if I even need to use the substitution method)

    Thanks guys!

    -Christian
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  2. #2
    Newbie
    Joined
    May 2009
    Posts
    17
    The answer on the solution sheet is:

    \ln(\frac{e+1}{\sqrt e+2})

    If that helps any...

    Didn't seem to help me much!
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  3. #3
    Senior Member
    Joined
    Jul 2009
    Posts
    397
    Hi csawyer1109

    \int_{1}^{2}\frac{e^\frac{1}{x} - x^2}{x^2e^\frac{1}{x} + x^3}dx

    =\int_{1}^{2}\frac{e^\frac{1}{x} - x^2}{x^2(e^\frac{1}{x} + x)}dx

    let :  u = e^\frac{1}{x} + x
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