Step 1:

The curve equations are and .

Find the area bounded by the curves  between and .

Area of the region bounded by the curves and between and is

Observe the graph :

The upper curve is .

The lower curve is .

Area bounded by the curves is 2 sq-units.

Solution :

Area bounded by the curves is 2 sq-units.

Step 1:

The curves are , and about .

consider .

Rewrite the equation.

.

Method of washer :

The volume of the solid  is , where  is the cross sectional area of the solid .

Graph:

Observe the graph.

Intersection points are  and .

Outer radius will be distance from the line to : .

Inner radius wlii be distance from the line  to   :.

Integral limits are and .

Step 2:

Volume of the solid is 

Solution :

Volume of the solid is