Calculate the Circulation of the Field F Around the Closed $\mathbf { F } = x ^ { 2 } y ^ { 3 } \mathbf { i } + x ^ { 2 } y ^ { 3 } \mathbf { j } ;$

Calculate the circulation of the field F around the closed curve C.
- $\mathbf { F } = x ^ { 2 } y ^ { 3 } \mathbf { i } + x ^ { 2 } y ^ { 3 } \mathbf { j } ;$ curve $C$ is the counterclockwise path around the rectangle with vertices at $( 0,0 ) , ( 4,0 ) , ( 4,2 )$ , and $( 0,2 )$

A) $\frac { 704 } { 3 }$
B) 0
C) $- \frac { 320 } { 3 }$
D) $- 256$