Consider the region bounded by the y-axis, y= e, and y = 3. 21 -2 1 23 4 2.1. Determine the exact value of x for which the horizontal line intersects the exponential curve. (Show your work in finding this value.) 2.2. Setup the integral that gives the area of this region and compute it.

The equation of the curves are

$$\begin{gathered} C_1: x = 0 \\ {C}_2: y = e^{\raisebox{1ex}{$x$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} \\ {C}_3: y = 3 \end{gathered}$$

The graph of the region bounded by the curves is

To evaluate: $$\begin{gathered} \text{2.1 The excat value of} x\text{ for which the horizontal line intersects the exponential curve} \\ \text{2.2 The integral that gives the area of the region bounded by the curve and the area bounded by the curves.} \end{gathered}$$