1(a) Set up a path integral, and compute the work done by the force F=(x^2 y^2) i + 2xyj by moving a

particle of mass m, along the square in the plane, bounded by the coordinate axes and lines x = 3, y = 3

with the counterclockwise orientation.

(b) Compute the path integral F dS where F= (x^2 y^2) i + xj and C is one circuit of the circle C

(x^2)+(y^2)= 4 in the counterclockwise direction.