1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Need advice

  1. Nov 21, 2008 #1
    2. Relevant equations
    Need to integrate x^2/((x^2-1)^(1/2)).

    3. The attempt at a solution
    I first broke the equation into (x^2-1)^(1/2) + (x^2-1)^(-1/2)

    Hence Integral (x^2/((x^2-1)^(1/2))) = Integral((x^2-1)^(1/2)) + Integral((x^2-1)^(-1/2)))

    Further on Integral((x^2-1)^(1/2)) is an integral by parts.

    Hence Integral((x^2-1)^(1/2)) = x(x^2-1)^(1/2) - Integral(x^2/((x^2-1)^(1/2)))

    Therefore Integral (x^2/((x^2-1)^(1/2))) = 1/2(x(x^2-1)^(1/2) + Integral((x^2-1)^(-1/2))

    But now I am stuck on how to solve the Integral((x^2-1)^(-1/2)).

    I am sorry that I can't put this into Latex form as my name suggest I don't know how to use Latex.
  2. jcsd
  3. Nov 21, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    I think it's time to try a trig substitution. How about x=sec(u)?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?