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## Homework Statement

[itex]\int \frac{-2x + 4}{(x-1)^{(2)}(x^{(2)}+1)}[/itex]

## Homework Equations

## The Attempt at a Solution

I've done the problem a couple times but the answers keep coming out differently so I'm assuming I am messing up the setup.

This is what I have for the first part of the setup:

[itex] -2x + 4 = A(x-1)^{(2)}(x^{(2)}+1) + B(x-1)(x^{(2)}+1) + (Cx+D)*(x-1)(x-1)^{(2)} [/itex]

Once expanded :

[itex] -2x + 4 = Ax^4 - A2x^3 + A2x^2 - A2x + A + Bx^3 -Bx^2 +Bx - B + Cx^4 - C3x^3 + C3x^2 - Cx[/itex]

[itex] +Dx^3 - D3x^2 + D3x - D [/itex]

Can anyone let me know if I'm right up to this point?

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