Use Green's theorem to evaluate ∮ F· dr. C (Check the orientation of the curve before applying the theorem.) F(x, y) = e⁻ˣ+ y², e⁻ʸ + x², C consists of the arc of the curve y = cos(x) from (− π/2 , 0) to (π/2 , 0) and the line segment from (π/ 2 , 0) to (− π/2 , 0)