The integral is .

Consider the function is .

(a) Graph :

Graph the function is on .

(b) Sketch the volume of the integral using disk method.

Disk method :

The volume of the solid is .

The volume of the solid is .

Compare the two  integrals :

and interval .

Graph :

Graph the function and .

(c) Sketch the volume of the integral using shell method.

Shell method :

The volume of the solid is .

The volume of the solid is .

Compare the two  integrals :

and interval .

Graph :

Graph the function and .

(a) Graph of the integral is .

(b)  Graph of the integral using disk method is .

(c)  Graph of the integral using shell method is .

.