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Integration problem

  1. Nov 30, 2009 #1
    1. The problem statement, all variables and given/known data

    [tex]\int[/tex]10/(x-1)(x^2-9)

    2. Relevant equations



    3. The attempt at a solution

    I believe I should integrate by partial fractions here, but I'm not entirely sure on the notation. I've seen examples in my textbook that sometimes use B as opposed to Bx. Is this when that notation corresponds to a x^2?

    Can this be done without having a factor of x in the numerator? If so would I just stick a +0x in the numerator before I seperate?
     
  2. jcsd
  3. Nov 30, 2009 #2

    rock.freak667

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    Homework Helper

    x2-9 can be factored as (x-3)(x+3)

    if you had

    [tex]\frac{1}{x-A)(ax^2+bx+c)}[/tex]

    and b2-4ac<0 i.e no real roots then the fractions would be

    [tex]\frac{F}{x-A}+\frac{Gx+H}{ax^2+bx+c}[/tex]
     
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