[SOLVED] Integral partial fractions, don't see the trick needed

**arbolis** · July 19th 2008, 12:25 PM

The problem says to solve the following integral (I'm guessing a partial fractions involved) : $\int \frac{x^2-5x+8}{x^3-3x^2+3x-1} dx$ . I'm not able to factorize the denominator, I don't see the trick to solve this integral... I'm asking you a tip, not the full answer, please. Thanks in advance.

**galactus** · July 19th 2008, 12:47 PM

The denominator factors to $(x-1)^{3}$

Now, can you continue?.

**arbolis** · July 19th 2008, 01:08 PM

Yes I can continue, thanks... sorry I forgot the formula for Newton's binomial. Edit : My answer is $\ln | x-1|+\frac{3x-5}{(x-1)^2}+C$ .

**galactus** · July 19th 2008, 01:16 PM

By Jove, I think you got it.

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