2. Consider the line integral F. dr, where the vector field F = 3 C 2y (e sin x + y/2) + 2(e cos y + z/) j and C is the closed curve in the first quadrant consisting of the curve a + y = 1 and the coordinate axes x = 0 and y = 0, oriented anticlockwise. a (a) Use Green's theorem to express the line integral in terms of a double integral over the region R enclosed by C. (b) Calculate the double integral using a repeated integral with respect to y first and r second. (c) Now reverse the order of integration and evaluate the double integral using a re- peated integral with respect to ar first and y second.