Problem 40E

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 curves y = 1/x, y = x/(3x +4), and the line x =10.

Problem 40E

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 curves y = 1/x, y = x/(3x +4), and the line x =10.

Solution:-

Step 1

The graph of

The graph of y = is

The graph of y=10

The graph of the region bounded by these curves is