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Homework Help: Last Problem: Partial Fractions Integration

  1. Sep 20, 2007 #1
    Need a check on the last problem of my test:


    integral (3x^2-8x+13)/(x^3+x^2-5x+3)

    Factor for the denom is (x-1)(x-1)(x+3). So a/(x-1) + b/(x-1)^2 + c/(x+3) = the f(x) in the integral

    Factor out and multiply all the polynomials. Comes down to a = -1, b = -2, c = 2

    Integral comes to:

    2/(x-1)+ln|(x+3)/(x-1)|+k
     
  2. jcsd
  3. Sep 21, 2007 #2

    Gib Z

    User Avatar
    Homework Helper

    Sorry if I sound harsh, but check yourself. Find the derivative of your integral, and if it matches your integrand, then you are correct.
     
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