Verify Greens theorem for the line integral ∫c xydx + x^2 dy where C is the triangle with vertices (0,0) (1,1) (2,0). This means show both sides of the theorem are the same.
∫c <P,Q> dr = ∫∫dQ/dx -dP/dy dA
∫c xydx + x^2dy
The Attempt at a Solution
Ok, I know the how to verify it with Greens Theorem. My answer comes out to be 1, I just can't figure out the steps to parametrize it or whatever I need to do to solve it without Greens Theorem.
I'm honestly stuck at the first step
∫<P,Q> dr = ∫<xy, x^2> dr