Use Green's Theorem to Evaluate the Integral $\int _ { C } ( y - x ) d x + ( 2 x - y ) d y \text { where } C \text { is }$

Multiple Choice

Use Green's Theorem to evaluate the integral $\int _ { C } ( y - x ) d x + ( 2 x - y ) d y \text { where } C \text { is }$ the boundary of the region lying inside the rectangle bounded by $x = - 8 , x = 8 , y = - 4 , y = 4$ , and outside the square bounded by $x = - 1 , x = 1 , y = - 1$ , and $y = 1$ .

A) 159
B) 187
C) 175
D) 165
E) 124