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Integrate 1/sqrt(x-1)

  1. Aug 10, 2010 #1
    Trying to do an improper integral but for some reason am flummoxed by the integration of 1/sqrt(x-1).
  2. jcsd
  3. Aug 10, 2010 #2
    Have you tried the substitution [tex]u^{2} = x-1 [/tex]?
  4. Aug 10, 2010 #3
    nope, thank-you!
  5. Aug 10, 2010 #4

    Char. Limit

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    Gold Member

    Why that substitution, I wonder? It seems to me that the substitution u=x+1 would be simpler... but I'm sure that, if I tried yours, it would work out just as easy.

    Wait, I did. And it was quite easy. Thanks for the alternative substitution route, I actually like this one better.
  6. Aug 10, 2010 #5


    Staff: Mentor

    Probably a typo, but u = x - 1 is a better choice than u = x + 1.
  7. Aug 10, 2010 #6

    Char. Limit

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    Gold Member

    Indeed. u=x-1 is what I meant.
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