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

Multiple Choice

Using Green's Theorem, the line integral $\int$ C $2 x y d x - x ^ { 2 } y d y$ where C is the triangle with vertices at (0, 0) , (1, 0) , and (0, 1) , is

A) $- \frac { 5 } { 12 }$
B) $- \frac { 7 } { 12 }$
C) $- \frac { 11 } { 12 }$
D) $\frac { 5 } { 12 }$
E) $\frac { 7 } { 12 }$