Question

\text { 2. [8 marks] Sketch the region bounded by } f(x)=3+10 e^{-2 x}, g(x)=3+2 e^{x}, x=-1 \text { and } x = 1. Using calculus, find the area of

the region, showing all the working. Express your answer in simplified exact form.

Fig: 1

Fig: 2