13-28 Sketch the region enclosed by the given curves and find its area. 25. y=x^(4), \quad y=2-|x|

Question

13-28 Sketch the region enclosed by the given curves and find its area.

25.
`y=x^(4), \quad y=2-|x|`

Answer 1

Area (A) 0.0682

Explanation:

The sketch for the region enclosed by the given curves can be found in the image attached below.

From the image below;

The two curves intersect in the area of tan 9x = 2 sin 9x

Recall that:

making x the subject; then:

The subdivision of the domain is in two intervals

where;

Area (A) =

Area (A) = 0.06818

Area (A) 0.0682