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

question 99

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

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