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 = x/(1 + x), the x-axis, and the line x =4.

Problem 38E

Solution:-

Step1

Given thatThe region bounded by the curve y = x/(1 + x), the x-axis, and the line x =4.

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=

=

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