Question

Line segment Integrals - Please Help! Green's Theorem. Please show steps

Answer 1

The Function is .

We Solve this using Green's Theorem.

Green theorem states that

if C is a simple - closed curve in a plane then

Where L and M are Functions of (x,y) and D is bounded in the region of C

Now Consider

Where L = cos(x)cos(y) and M = - sin(x)sin(y)

Therefore the is equal to zero.