Use Green's Theorem to evaluate the line integral. Orient the curve counterclockwise unless otherwse indicated.

The line integral of \(\mathbf{F}(x, y)=\left\langle e^{x+y}, e^{x-y}ightangle\) along the curve (oriented clockwise) consisting of the line segments by joining the points \((0,0),(2,2),(4,2),(2,0)\), and back to \((0,0)\)

THEOREM 1 Green's Theorem Let D be a domain whose boundary 3D is a simple closed curve, oriented counterclockwise. If F and F have continuous partial deriva- tives in an open region containing D, then $o F1 dx + F2 dy 1 (F2-F) da dA = ay 2