I allready solved that one, but I've got no idea on the 2nd.
Well, the form of the integrand just screams "trig substitution" :
The problem is that this attack is very messy. So messy that I decided to consult the "oracle" over on Mathematica's online integrator, which gave me a really messy answer. So messy that I am wondering if there isn't some typo in the problem?