Find the Area of the Region Between $y = e ^ { - x }$

Multiple Choice

Find the area of the region between $y = e ^ { - x }$ and $y = - 4 x$ for x in $[ 0,3 ]$ .

A) $18 - \frac { 1 } { e ^ { 3 } }$
B) $19 - e ^ { 3 }$
C) $18 + \frac { 1 } { e ^ { 3 } }$
D) $19 - \frac { 1 } { e ^ { 3 } }$
E) $18 + e ^ { 3 }$