1. Sep 16, 2012 #1

   charmedbeauty

   

   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

    

   charmedbeauty, Sep 16, 2012
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3. Sep 16, 2012 #2

   Simon Bridge

   

   Science Advisor

   Homework Helper

   You understand $$\frac{a+b}{ab} =\frac{1}{a}+\frac{1}{b}$$ ... then expand the concept for functions.
   http://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/partialfracdirectory/PartialFrac.html

    

   Simon Bridge, Sep 16, 2012
4. Sep 16, 2012 #3

   Curious3141

   

   Homework Helper

   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.

    

   Curious3141, Sep 16, 2012
5. Sep 16, 2012 #4

   charmedbeauty

   

   ok yeah I figured it out thanks.

    

   charmedbeauty, Sep 16, 2012

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