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 closed curve consisting of the arc of $4 y = x ^ { 3 }$ from (0, 0) to (2, 2) and the line segment from (2, 2) to (0, 0) , is

A) $\frac { 16 } { 21 }$
B) $\frac { 26 } { 21 }$
C) $\frac { 28 } { 21 }$
D) $\frac { 32 } { 21 }$
E) $\frac { 64 } { 21 }$