Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Showing positivity of an integral

  1. Jul 29, 2008 #1


    User Avatar

    Hello, I have a tricky integral to show positivity of. Here are the knowns: f is piecewise linear continuous, f' <= abs{2}, H(s) = 0

    between -1 and 1, and s[ln(s)+- sqrt{s^2 -1}] +- sqrt{s^2 -1} otherwise.

    I wish to show that int [f'(s)H(s)]ds outside interval [-1,1] is positive. One suggestion is to show that the integral
    is = int [f(s) [ln(s) +- sqrt{s^2-1}]] but I am unable to do this.

    Any discussion is appreciated. I am an algebra grad student. This is needed for evaluation of other integrals and I am stuck. Thank you
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted