Here we are again -- let's get cracking on some of these hard integrals again!
Number 358 in my source work:
which has to be demonstrated to be equal to:
I tried a Weierstrass substitution: but ended up with the horrible:
which doesn't look like it's going in the right direction.
I also tried integration by parts, setting both and to but got no further than:
... which looks horrible and I haven't had the courage to take it further down that route.
I tried a few substitutions but they didn't look promising either.
Any hints as to how this may be attacked?