Areas of regions

Find the area of the following regions. In each case, graph the relevant functions and show the region in question.

The region bounded by the curve y =10/(x2 − 2x −24), the x-axis, and the lines x =−2and x = 2.

Problem 39E

Solution:-

Step1

Given that

The region bounded by the curve y =, the x-axis, and the lines x =−2 and x = 2.

Step2

To find

Find the area of the following regions. In each case, graph the relevant functions and show the region in question.

Step3

Graph

Step4

Area under the curve

A=dx

=dx

=