Step 1:

The curve equations are $\"\"$ and $\"\"$ .

Graph the curves $\"\"$ and $\"\"$ .

$\"\"$

Observe the graph:

The intersection points are (- 2, 2) and (2, 2).

Step 2 :

The area between the curves is symmetrical about the y - axis.

so lets find one side and double it.

Thus, area of the region is $\"\"$ .

Observe the graph :

Upper curve is $\"\"$ .

Lower curve is $\"\"$ .

Since We are only using the positive side of $\"\"$ , consider $\"\"$ .

The boundaries are $\"\"$ .

$\"\"$

Area of the region enclosed by the given graphs is 6.67 sq-units.

Solution:

Area of the region enclosed by the given graphs is 6.67 sq-units.