- #1

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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

- Thread starter charmedbeauty
- Start date

- #1

- 271

- 0

Find ∫18/((x

Im a little stuck on this.

18∫1/((x

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

Thanks

- #2

Simon Bridge

Science Advisor

Homework Helper

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http://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/partialfracdirectory/PartialFrac.html

- #3

Curious3141

Homework Helper

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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

[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.

- #4

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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.

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