Green's Theorem to Evaluate the Integral $\int _ { C } 11 x y d x + ( x + y ) d y$

Multiple Choice

Green's Theorem to evaluate the integral $\int _ { C } 11 x y d x + ( x + y ) d y$
for the path $C$ : boundary of the region lying between the graphs of $y = 0$ and $y = 121 - x ^ { 2 }$ .

A) 0
B) $\frac { 5324 } { 3 }$
C) 121
D) $\frac { 484 } { 3 }$
E) 11