Evaluate the Line Integral of the Function Over the Given $f ( x , y ) = x e ^ { y }$

Multiple Choice

Evaluate the line integral of the function over the given curve: $f ( x , y ) = x e ^ { y }$ and the curve C is given by $\vec { r } ( t ) = \langle \cos ( t ) , \sin ( t ) \rangle , 0 \leq t \leq \frac { \pi } { 2 }$

A) $e$
B) $e - 1$
C) $- 1$
D) $e ^ { \frac { \pi } { 2 } } - 1$