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Integration by Partial Fractions

  1. Feb 11, 2009 #1
    1. The problem statement, all variables and given/known data
    Integrate

    x^3 + 49 / x^2 + 5x + 4


    2. Relevant equations



    3. The attempt at a solution
    Since the numerator has an x cubed, but the denominator only has an x squared, I know I need to divide the numerator by something.

    I'm not sure what, but maybe the denominator?

    At some point I know I need to factor the denominator, and I got (x+4)(x+1).

    Once I get that top part simplified I think I know what to do, I'm just not sure how to simplify.
     
  2. jcsd
  3. Feb 12, 2009 #2

    Mark44

    Staff: Mentor

    Yes, divide the numerator by the denominator. You'll get x + (other terms)/(x^2 + 5x + 4).
     
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