- #1

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## Homework Statement

Integrate f(x) = (x^3 + 3x + 12) / (x(x+2)^2)

## Homework Equations

## The Attempt at a Solution

I know that i should somehow rewrite the polynomial but I do not know how. Please, help me.

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- Thread starter Hevonen
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- #1

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Integrate f(x) = (x^3 + 3x + 12) / (x(x+2)^2)

I know that i should somehow rewrite the polynomial but I do not know how. Please, help me.

- #2

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Hmm, I don't know if this is correct or not, but have you tried long division?

- #3

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[tex]f(x) = \frac{x^3 + 3x + 12} { x(x+2)^2} = \frac{A}{x}+\frac{B}{x+2}+\frac{C}{(x+2)^2} [/tex]

Where A,B,C are constants. Then you have to solve a system of three equations for A,B,C. Else you look in math book or wikipedia under partial fractions.

- #4

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Thanks! It is about partial fractions.

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HallsofIvy

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