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

Multiple Choice

Use Green's Theorem to evaluate the integral $\int _ { C } ( y - x ) d x + ( 2 y - y ) d y \text { for the }$ path $C$ defined as $x = 6 \cos \theta , y = 7 \sin \theta$ .

A) $210 \pi$
B) $12 \pi$
C) $21 \pi$
D) $126 \pi$
E) $42 \pi$