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

  1. #1
    MHF Contributor arbolis's Avatar
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    [SOLVED] Integral partial fractions, don't see the trick needed

    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.
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  2. #2
    Eater of Worlds
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    The denominator factors to (x-1)^{3}

    Now, can you continue?.
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  3. #3
    MHF Contributor arbolis's Avatar
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    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.
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  4. #4
    Eater of Worlds
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    By Jove, I think you got it.
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