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Partial fraction problem

  1. Sep 16, 2012 #1
    1. The problem statement, all variables and given/known data

    Find ∫18/((x2+9)(x-3))



    2. Relevant equations



    3. The attempt at a solution

    Im a little stuck on this.

    18∫1/((x2+9)(x-3))

    Im not sure how to turn this into a partial fraction.. help.

    Thanks
     
  2. jcsd
  3. Sep 16, 2012 #2

    Simon Bridge

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  4. Sep 16, 2012 #3

    Curious3141

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    The general form for the PF decomposition would be:

    [tex]\frac { 18 }{ (x^{ 2 }+9)(x-3) } =\frac { Ax+B }{ x^{ 2 }+9 } +\frac { C }{ x-3 } [/tex]

    First find C by using the Heaviside coverup rule (put x = 3 after multiplying both sides by (x-3).

    Then just subtract the [itex]\frac { C }{ x-3 } [/itex] from the LHS and simplify to find the remaining term.
     
  5. Sep 16, 2012 #4
    ok yeah I figured it out thanks.
     
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