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(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Showing positivity of an integral

Can you offer guidance or do you also need help?

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