Shell method question

[JimCalc2]

Let r be the region bounded by y=x^2, x=1, and y=0. Use the shell method to find the volume of the solid generated when R is revolved about the line x= -9.

Set up the integral that gives the volume of the solid using the shell method. Use increasing limits of integration.

(How would I go about setting up the integral?)

No graphics are provided for the solid.

 

[Deleted member 4993]

Let r be the region bounded by y=x^2, x=1, and y=0. Use the shell method to find the volume of the solid generated when R is revolved about the line x= -9.

Set up the integral that gives the volume of the solid using the shell method. Use increasing limits of integration.

(How would I go about setting up the integral?)

No graphics are provided for the solid.

Sketch the region (approximately) bounded by y=x^2, x=1, and y=0.

Draw a vertical line at some x = x₁ ........ (0<= x₁ <= 1)

What is the length of the line bounded by y=x^2 and y=0? That is the height of the shell-element.

What is the radius of the shell-element?

What is the thickness of the shell-element?

What is the volume of the shell-element?

Now integrate (What are the limits of integration?)......