If I = $\int$ C $\left( e ^ { - y } - 2 x \right) d x - \left( x e ^ { - y } + \sin y \right) d y$

Multiple Choice

If I = $\int$ C $\left( e ^ { - y } - 2 x \right) d x - \left( x e ^ { - y } + \sin y \right) d y$ is independent of the path where C is a curve from (0, ?) to (?, 0) , then I is

A) $\pi ^ { 2 } - \pi - 2$
B) $\pi ^ { 2 } - \pi + 2$
C) $\pi ^ { 2 } + \pi - 2$
D) $\pi ^ { 2 } + \pi + 2$
E) $- \pi ^ { 2 } - \pi + 2$