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Math Help - An Integral Problem

  1. #1
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    An Integral Problem

    int.(lower bound of 0)(upper bound of 1) x/x^(2)+1 dx
    Thanks.
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  2. #2
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    note the integrand is almost (needs a constant) in the form \frac{u'}{u} ...

    what kind of function does integrating such a form lead to ?
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  3. #3
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    Give this a shot

    This is my first time answering any of these problems so I don't want to promise anything (I just joined), but try integration by substitution:

    u = x^2+1
    du = 2x dx ==> 1/2 du = x dx

    pull out the 1/2 and get [1/2 * integral (du/u)]

    This should simplify out to 1/2 ln(x^2+1)

    Now just solve for the two bounds...
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  4. #4
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    Quote Originally Posted by nystudent2729 View Post
    int.(lower bound of 0)(upper bound of 1) x/x^(2)+1 dx
    Thanks.
    let u=x^{2}+1
    then
    du=2xdx

    Can you finish now?
    Last edited by mr fantastic; February 11th 2009 at 05:56 PM. Reason: Fixed the latex
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