Im not completely getting line integrals. Can you please help me with these questions.

I get 3 for (a) and (b) is that right?

Not sure how to do this one

I was thinking

. Not sure about theta. Is any of that the right thing to do?

I get and . Not sure what to do next or if that is right.

For green's theorem it would be ? But im not sure about the limits. As for doing it directly, not sure about that either.

Please help. I really need to know this for my final exam