Question

Find the line integral if F=((e^y),ln(x^2+1),1) and C is the circle of radius 2 centered at the origin the the yz-plane.

Answer 1

I can get most of this. I don't need you to do the problem for me (yet) but what I'm trying to figure out is r(t). Is it r(t)=(0,2cost,2sint)?

Answer 2

Well, if this ever gets answered I do need help. When I started I realized that the start is at (0,1,0) and is clockwise. But my answer was 0 which didn't seem right.

I ended up with:
\[-2[sint]_{0}^{2\pi}\]

Which gave me 0. Does this work out to be the case?