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## Homework Statement

Find the antiderivative of x^2 / [ (x-1)(x^2 + 4x +5)].

## Homework Equations

## The Attempt at a Solution

I first tried multiplying the denominator to get x^2 / x^3 + 3x^2 + x - 5 ... I noticed that the numerator is almost the derivative of the denominator, and if I can alter the expression to get du/u I can integrate it by using some form of ln |u|. I've tried several ways but I don't know where to go from here or what to do.