Using Green's Theorem, the Line Integral $\int$ C $x \sin y d x - y \cos x d y$

Multiple Choice

Using Green's Theorem, the line integral $\int$ C $x \sin y d x - y \cos x d y$ where C is the rectangle with vertices $( 0,0 ) , \left( \frac { \pi } { 2 } , 0 \right) , \left( \frac { \pi } { 2 } , \frac { \pi } { 4 } \right)$ and $\left( 0 , \frac { \pi } { 4 } \right)$ is

A) $\frac { \pi ^ { 2 } ( 1 + 2 \sqrt { 2 } ) } { 32 }$
B) $- \frac { \pi ^ { 2 } ( 1 - 2 \sqrt { 2 } ) } { 32 }$
C) $\frac { \pi ^ { 2 } ( 1 - 2 \sqrt { 2 } ) } { 32 }$
D) $\frac { \pi ^ { 2 } ( 1 - 2 \sqrt { 2 } ) } { 16 }$
E) $\frac { \pi ^ { 2 } ( 1 + 2 \sqrt { 2 } ) } { 16 }$