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Partial fractions and integral

  1. Jul 14, 2009 #1
    1. The problem statement, all variables and given/known data

    I((3x^2+x+4)/(x^4+3x^2+2),x)
    I((3x^2+x+4)/((x^2+1)(x^2+2)),x)
    I(3x^2/((x^2+1)(x^2+2)),x)+I((x+4)/((x^2+1)(x^2+2)),x)
    from here i have used partial fractions with no luck

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 14, 2009 #2

    Gib Z

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    Homework Helper

    Re: integral

    It is probably easier to use partial fractions right after you get to:

    [tex]\int \frac{ 3x^2 + x+4}{(x^2+1)(x^2+2)} dx[/tex].

    Please show us your working so we can tell you where you went wrong.
     
  4. Jul 14, 2009 #3

    HallsofIvy

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    Staff Emeritus
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    Re: integral

    [tex]\frac{ 3x^2 + x+4}{(x^2+1)(x^2+2)}= \frac{Ax+ B}{x^2+ 1}+ \frac{Cx+ D}{x^2+ 2}[/tex]
    Now, what did you do to try to find A, B, C, and D?
     
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