Question

Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify your result.

Answer 1

Step 1:

The function is , to and .

Let .

Area of the region:

If is continuous and non-negative on the closed interval ,

then the area of the region bounded by the graph , the -axis () and the vertical lines and is given by

Step 2:

Re-write the expression

.

Step 3:

Graph the function .

Observe the graph:

Area of the region is 13.0452 sq-units.

Solution:

.