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

question 39

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) \(18 + e ^ { 3 }\)