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Integration by parts

  1. May 13, 2010 #1
    1. The problem statement, all variables and given/known data

    By integrating by parts , show that

    [tex]\int \frac{1}{1-x^2}dx=\frac{x}{1-x^2}-\int \frac{2x^2}{(1-x^2)^2}dx[/tex]

    2. Relevant equations

    3. The attempt at a solution

    I don see which is u and v.
  2. jcsd
  3. May 13, 2010 #2


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    Homework Helper

    You can view the first integral as a product of two functions, which ones? Now if you don't see which one should be u and which one should be v just try one. After all there are only two possibilities.
  4. May 13, 2010 #3
    Perhaps it would further help to think about how the x could appear in the numerator of the first term on the right hand side.
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