1. The problem statement, all variables and given/known data Use Green's Theorem to calculate [itex]\int F dr[/itex] 2. Relevant equations [itex] F(x,y)= (\sqrt x +y^3) i + (x^2+ \sqrt y) j[/itex] where C is the arc of y=sin x from (0,0) to ( pi,0) followed by line from (pi,o) to (0,0). 3. The attempt at a solution We have [itex]\int f dx + g dy = \int \int_R (g_x-f_y)[/itex] dA for counterclockwise rotation, but the question is given in clockwise rotation so does green's theorem become [itex]- \int \int_R (g_x-f_y) dA[/itex]...? Ie, a sign change?