Use Green's Theorem to Evaluate the Line Integral $\int _ { C } e ^ { x } \cos ( 13 y ) d x - 13 e ^ { x } \sin ( 13 y ) d y$

Multiple Choice

Use Green's Theorem to evaluate the line integral $\int _ { C } e ^ { x } \cos ( 13 y ) d x - 13 e ^ { x } \sin ( 13 y ) d y$ where $C$ is $x ^ { 2 } + y ^ { 2 } = a ^ { 2 }$

A) 13
B) 14
C) 170
D) 26
E) 0