# What is the area of the region in the first quadrant by the graph of #y=e^(x/2)# and the line x=2?

##### 1 Answer

Mar 30, 2016

#### Answer:

2e-2 = 3.4366, nearly. See the graph for this area.

#### Explanation:

The line x = 2 is parallel to y-axis.

The area in

the curve, x = 0, x-axis and x = 2. See the graph.

Area =

The integral is

=

graph{(x-2ln y)(2-x)(x)=0[0 2] [0 2.72]}