Question

Integration question:

Answer 1

http://s3.mnimgs.com/img/shared/content_ck_images/ana_qa_image_584d135dde007.jpeg

Answer 2

Hmm that first one looks like a doozy.
I would have to think about it some more...

But the second one isn't too bad.
The denominator factors,
after which we can apply partial fraction decomposition.

Answer 3

\[\large\rm x^3-x^2-x+1\]If you test x=1, you'll find that it's a factor/root.
You can do polynomial long division or synthetic to factor it out,