Use Green's Theorem to Evaluate the Line Integral Along the Positively

Multiple Choice

Use Green's Theorem to evaluate the line integral along the positively oriented closed curve $C$ . $\oint _ { C } ( 6 x y + 5 \ln ( 1 + x ) ) d x + 2 x ^ { 2 } d y$ , where $C$ is the cardioid $r = 2 + 2 \cos \theta$ .

A) $- 20 \pi$
B) $- 80 \pi$
C) $- 10 \pi$
D) $- 40 \pi$