Path integral/Stokes's and Green's theorem

[PhysicsGente]

I meant Line integral.

Homework Statement

I want to find the path integral of a vector function F over a closed path in Euclidean space with z = 0.

Homework Equations

The Attempt at a Solution

I was wondering if it is allowed to first use Stoke's theorem and then Green's theorem. I would end up getting div(curl(F)) which I believe equals to zero. But I am not sure if I'm allowed to use Green's theorem in this case.

 

[vela]

Can you post the original problem and your work so far?

 

[PhysicsGente]

I have figured it out. Thank you!