## Compute the closed curve integral of F (dot) dR in two ways.....

Let C be the square with vertices (-1,0), (0,0), (0,1), and (-1,1). Let F=[ycos(x)]i -[y^3] j. Compute the closed curve integral of F (dot) dR in two ways:

once using a double integral
and once by summing four line integrals (one for the each edge of the square)