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Homework Help: Arccosh(x) integral

  1. Sep 11, 2008 #1
    1. The problem statement, all variables and given/known data

    [tex]\int[/tex]dx/[tex]\sqrt{}x^2 -1[/tex]
    I actually know that the answer is arccosh(x) but I want to prove it in form of Ln(x+[tex]\sqrt{}x^2 -1[/tex])

    2. Relevant equations



    3. The attempt at a solution
    I have tried many times such as u=x2-1 and u=x2
     
    Last edited: Sep 11, 2008
  2. jcsd
  3. Sep 11, 2008 #2
    Re: Integral

    Did you mean ...

    [tex]\int\frac{dx}{\sqrt{x^2-1}}[/tex]
     
  4. Sep 11, 2008 #3
    Re: Integral

    Yes I mean

    LaTeX Code: \\int\\frac{dx}{\\sqrt{x^2-1}}
     
  5. Sep 11, 2008 #4

    Defennder

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    Homework Helper

    Re: Integral

    Use a trigo substitution here.
     
  6. Sep 19, 2008 #5
    Re: Integral

    Thank you now I got it x=sect
     
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