Using Green's Theorem, the Line Integral $\int$ C $\left( x ^ { 2 } + y \right) d x$

Multiple Choice

Using Green's Theorem, the line integral $\int$ C $\left( x ^ { 2 } + y \right) d x$ where C is the parabola $y = 4 - x ^ { 2 }$ from (-2, 0) to (0, 4) , from (0, 4) to (-2, 0) , along the parabola, the line segment from (2, 0) to (-2, 0) , is

A) $- \frac { 31 } { 3 }$
B) $- \frac { 32 } { 3 }$
C) $- \frac { 34 } { 3 }$
D) $- \frac { 35 } { 3 }$
E) $- \frac { 37 } { 3 }$