- #1

- 17

- 0

## Homework Statement

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.

## Homework Equations

∫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