Using Green's Theorem, Find the Outward Flux of F Across $\mathbf { F } = ( - 9 x + 7 y ) \mathbf { i } + ( 9 x - 3 y ) \mathbf { j } ; C$

Using Green's Theorem, find the outward flux of F across the closed curve C.
- $\mathbf { F } = ( - 9 x + 7 y ) \mathbf { i } + ( 9 x - 3 y ) \mathbf { j } ; C$ is the region bounded above by $y = - 3 x ^ { 2 } + 7$ and below by $y = 4 x ^ { 2 }$ in the first quadrant

A) - 64
B) - 56
C) 48
D) 72