Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C. $\oint _ { C } ( 6 x y + 8 \ln ( 1 + x ) ) d x + 4 x ^ { 2 } d y$ , where C is the cardioid $r = 3 + 3 \cos \theta$ .
A) 270 $\pi$
B) $135$ $\pi$
C) $\frac { 135 } { 4 }$ $\pi$
D) $\frac { 135 } { 2 }$ $\pi$

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The Answer of Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C. $\oint _ { C } ( 6 x y + 8 \ln ( 1 + x ) ) d x + 4 x ^ { 2 } d y$ , where C is the cardioid $r = 3 + 3 \cos \theta$ .
A) 270 $\pi$
B) $135$ $\pi$
C) $\frac { 135 } { 4 }$ $\pi$
D) $\frac { 135 } { 2 }$ $\pi$

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