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Integration of Rational Functions by Partial Fractions

  1. Aug 25, 2008 #1
    1. The problem statement, all variables and given/known data

    ∫1/ x^3-1 dx, ok how would i do this

    2. Relevant equations
    ∫dx/ x^2+a^2= 1/a tan^-1 (x/a) +c

    i tried to simplify x^3-1 = (x+1)(x-1)(x+1)
  2. jcsd
  3. Aug 25, 2008 #2
    You've tried to factor out (x-1) from x3-1 which is a good start, however you might want to check your calculation again. Once you've re-done the factorization, we'll take it from there.
    Last edited by a moderator: Aug 25, 2008
  4. Aug 25, 2008 #3


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    Check this back...(x-1) is a factor, but divide it out again, your approach is correct though.
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