Step 1:

The area of the region is represented by the integral as $\"\"$ .

Definite integral as area of the region:

If $\"image\"$ and $\"image\"$ are continuous and non-negative on the closed interval $\"image\"$ ,

then the area of the region bounded by the graphs of $\"image\"$ and $\"image\"$ and the vertical lines $\"image\"$ and $\"image\"$ is given by

$\"image\"$ .

Compare the integral with the general form of area of the region then

$\"\"$ and $\"\"$ .

Vertical lines are $\"\"$ and $\"\"$ .

Graph:

Graph the functions $\"\"$ and $\"\"$ .

Shade the region bounded by the curves between $\"\"$ and $\"\"$ .

$\"\"$

Solution:

Graph of the area of the region represented by the integral $\"\"$ is

$\"\"$