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Homework Statement
Find ∫18/((x^{2}+9)(x-3))
Homework Equations
The Attempt at a Solution
Im a little stuck on this.
18∫1/((x^{2}+9)(x-3))
Im not sure how to turn this into a partial fraction.. help.
Thanks
The general form for the PF decomposition would be:Homework Statement
Find ∫18/((x^{2}+9)(x-3))
Homework Equations
The Attempt at a Solution
Im a little stuck on this.
18∫1/((x^{2}+9)(x-3))
Im not sure how to turn this into a partial fraction.. help.
Thanks
ok yeah I figured it out thanks.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.