Using Green's Theorem, Calculate the Area of the Indicated Region $y = 2 x ^ { 2 }$

Multiple Choice

Using Green's Theorem, calculate the area of the indicated region.
-The area bounded above by $y = 2 x ^ { 2 }$ and below by $y = 3 x ^ { 3 }$

A) $\frac { 16 } { 81 }$
B) $\frac { 2 } { 81 }$
C) $\frac { 8 } { 81 }$
D) $\frac { 4 } { 81 }$