# How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=x#, #0<=x<=1# rotated about the x-axis?

##### 1 Answer

May 30, 2016

Volume

#### Explanation:

Using the cylindrical shell method. The differential is

but

our limits for x are

our limits for y are

We solve the volume by integrating both sides with limits

God bless....I hope the explanation is useful.