Of course I'm not sure if this worked properly for me but I don't see a reason why it would be wrong. I figure it is probably on the right track since there is an arctan function in the answer.
As for the last integral you lost me. were you saying something like
and work from there??? I've tried this but I'm not sure whether or not to use a ln function... because it is not exactly a
integral...(i dont think) but each time I go for an answer by simply working backwards through product rule I can't differentiate it back to its original form (I know this part is probably simple but I completely forget how to do it).