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Integrate 1/(x-1)(sqrt(x^2-3x+2))

  1. Feb 17, 2013 #1

    Denisse

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    1. The problem statement, all variables and given/known data

    How can I integrate this? I already tried substitution u=x-1 and partial fractions.

    ∫[dx]/[(1-X^2)√((x^2)-3x+2)]



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Denisse, Feb 17, 2013
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  3. Feb 17, 2013 #2

    Karnage1993

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    How I'd start would be to first complete the square inside the square root, then do a trigonometric substitution of ##\displaystyle x - \frac{3}{2} = \frac{1}{2} \sec x##. Try it out and see what you get.
     
    Karnage1993, Feb 17, 2013
  4. Feb 18, 2013 #3

    FeDeX_LaTeX

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    Gold Member

    The integral in your thread title and the integral in your post are different. Which one do you need help with?
     
    FeDeX_LaTeX, Feb 18, 2013
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