C is the directed curve forming the triangle (0, 0, 0) to (0, 1, 1) to (1, 1, 1) to (0, 0, 0).
Let F=(x,xy,xz) Find ∫F·ds.
The Attempt at a Solution
My intial instinct was to check if it was conservative. Upon calculating:
I concluded that it isn't conservative. How do I apply Green's theorem for a three-dimensional vector field that is non-conservative?