Perform the following integration:
The solution (via wolframalpha.com) is:
Evaluated from 0 to sqrt(2)h
Here is the link: http://www.wolframalpha.com/input/?i=x/[(h^2+x^2-(2^(1/2))*x*h)^(1/2)]
The Attempt at a Solution
I immediately looked at a substitution and an integration by parts. They left me worse off than before. Then, I went to wolframalpha in order to see how to do it. They could not show any steps. I am not sure how to integrate this by hand. Any advice?
If this is an integral that you simply look up in a table, could someone point me to the methods used (no matter how complex) that will solve this?
Thanks for reading.