MT-1620 al.2002 Use Stoke's Theorem for the right-hand side integral (Mdx+ Dyl In this case we have M N=X We thus get f0:1-y eddy Paul A Lagace @2001 Unit 12-8MIT - 16.20 Fall, 2002 Use Stoke’s Theorem for the right-hand side integral: ∫ ∂N ∂M {Mdx + Ndy} = ∫∫  ∂x − ∂y  dxdy In this case we have ∂M M = − y ⇒ = −1 ∂y ∂N N = x ⇒ = 1 ∂x We thus get: Gk ∫ {xdy − ydx} = Gk ∫∫ [1 − −( 1)] dxdy = Gk ∫∫ 2dxdy Paul A. Lagace © 2001 Unit 12 - 8