Question

Find the area of the region. Use a graphing utility to verify your result.

Answer 1

Step 1 :

The area of the region bounded by the graph of is .

.

Let , then and .

Evaluate the boundaries :

If , then .

If , then .

Apply integral substitution.

Power rule of integration : .

The area is 43.178 square units.

Step 2 :

Plot a graph for the function .

Graphically the value is 43.178.

Solution :

The area of the region is 43.178 square units.