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Integrate 1 / (x^2 - 1)^2

  1. Dec 4, 2012 #1
    1. The problem statement, all variables and given/known data
    integrate dx / (x^2 - 1)^2


    2. Relevant equations



    3. The attempt at a solution
    There is nothing i can substitute to get rid of x. Except x=sqr(t), but then dx is 1/2sqr(t) so i get:

    ∫( dt / (t-1)^2 * 2sqr(t) )

    and it's still impossible to integrate.
     
  2. jcsd
  3. Dec 4, 2012 #2

    arildno

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    Try partial fractions decomposition, remembering that (x^2-1)=(x+1)(x-1)
     
  4. Dec 4, 2012 #3

    Ray Vickson

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    A more-or-less standard substitution to try out when you see 'x^2-1' is x = cosh(t).
     
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