Hi, I've been working on these integral evaluations and I'm stuck. Any help on any of them would be greatly appreciated, thanks in advance!

1.

My attempt:

(Tried breaking it down, couldn't get it to work )

2.

My attempt:

long division to get (not sure how to show that in Latex)

Then

Not sure where to go from there...I imagine that I'm missing the same idea in both of these, so any help would be appreciated. Thanks again!