What did you get so far and is this what it looks like?
Well I want to test the previous post. If it's true then i'm going to have a lot less work to do!
The limits remain the same. I do not think it is necessary to write that part of the working out.
WOW! That is the find of the century for me!!!!
(oh, and that's how I would integrate it.)
showcase, you have two mistakes in your arguments -- namely, with "the limits stay the same", and after the change of variables you lost exponential for some reason.
basically 11rdc11 wrote out the solution -- the primitive is and then the integral is .
the short way of this, as I said, is to note that the function is odd, so the integral is zero immediately, though I am sloppy here, because for this argument to work, one needs to check that the integral is finite at first