Consider the two-dimensional vector field F(x, y) = sin(Arctan(y/x)) cos(Arctan(y/z)), defined on points (x,y) with x # 0. Evaluate the line integral F ( 2 , y ) dy where C is the curve with polar parametrization r(0) - -2 sin(20) for 0 E 8 8 V2 V3 OOO0 - V3 -V2