Apply Green's Theorem to Evaluate the Integral $$\oint _ { C } \left( y ^ { 2 } + 4 \right) d x + \left( x ^ { 2 } + 6 \right) d y$$

Multiple Choice

Apply Green's Theorem to evaluate the integral.
- $$\oint _ { C } \left( y ^ { 2 } + 4 \right) d x + \left( x ^ { 2 } + 6 \right) d y$$
$C$ : The triangle bounded by $x = 0 , x + y = 1 , y = 0$

A) 4
B) $- 3$
C) 0
D) $\frac { 2 } { 3 }$