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Partial fractions

  1. Nov 10, 2012 #1
    1. The problem statement, all variables and given/known data

    ∫ (x^3)/(x^2+2x+1)

    I think I could solve it if I knew how they did this operation:

    From the solution:
    '
    (x^3)/(x^2+2x+1) = (x-2) + (3x+2)/(x+1)^2 ( After long division)

    Did they use polynomialdivision?

    x^3: x^2-2X+1=

    If so, how?
     
  2. jcsd
  3. Nov 10, 2012 #2

    Mentallic

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    Yes, long division was used. Do you know how to use it?

    This video will help http://www.youtube.com/watch?v=ok4k6HDCuIk and just keep in mind that when applying it to your problem,

    [tex]x^3=1x^3+0x^2+0x+0[/tex]
     
  4. Nov 10, 2012 #3

    SammyS

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    Yes, they used long division for polynomials.

    Here's a link to Wikipedia's page on polynomial long division.

    If you don't want to use long division, use the substitution u = x+1.
     
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