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

Multiple Choice

Using Green's Theorem, the line integral $\int$ C $\left( x ^ { 2 } - y ^ { 2 } \right) d x + 2 x y d y$ where C is the circle $x ^ { 2 } + y ^ { 2 } = 1 ,$ is

A) $\frac { 20 } { 3 }$
B) $\frac { 19 } { 3 }$
C) $\frac { 17 } { 3 }$
D) $\frac { 16 } { 3 }$
E) 0