Looks like a trig substitution problem...
Wolfram Mathematica Online Integrator
I am trying to do the integral
...where
...and epsilon is a constant.
I have absolutely no idea how to even start on this one! Perhaps making a substitution ? Then integration by parts?
I've tried working through some of this, but get nowhere quickly. Any help or pointers in the right direction would be most appreciated!
Looks like a trig substitution problem...
Wolfram Mathematica Online Integrator
The integral can be written as...
(1)
Clearly we have to concentrate the efforts to the solution of the second integral and in such a case the most efficient approach is the variable change so that we have...
(2)
... and the integral becomes...
(3)
... so that, taking into account (1), is...
(4)
Kind regards