Evaluate the Line Integral $\int _ { C } y d x - x d y$

Evaluate the line integral $\int _ { C } y d x - x d y$ along the circle $x = 2 \cos t , y = 3 \sin t , 0 \leq t \leq 2 \pi$ .

A) $0$
B) $- 24 \pi$
C) $- 6 \pi$
D) $- 12 \pi$
E) $- \frac { \pi } { 2 }$
F) $24 \pi$
G) $6 \pi$

H) $12 \pi$

Correct Answer:

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