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

Multiple Choice

Calculate the circulation of the field F around the closed curve C.
- $\mathbf { F } = x y y ^ { 2 } \mathbf { i } + x ^ { 2 } y \mathbf { j } ;$ curve $C$ is the counterclockwise path around $C _ { 1 } \cup C _ { 2 } : C _ { 1 } : r ( t ) 6 \cos t i + 6 \sin t j , 0 \leq t \leq \pi$
$$C _ { 2 } : r ( t ) = t i , - 6 \leq t \leq 6$$

A) 72
B) 36
C) 0
D) 6