help setting up a washer method integral

[kmerr98277]

I'm looking for the volume of the solid enclosed by y=3, y=1/x, and y=x^2 rotated around the x-axis. Will this be the sum of two integrals? Thanks.

 

[Ishuda]

I'm looking for the volume of the solid enclosed by y=3, y=1/x, and y=x^2 rotated around the x-axis. Will this be the sum of two integrals? Thanks.

Actually the difference of two integrals but you could call that a sum. Maybe
http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithCylinder.aspx
would be of interest, especially Example 4 which is a similar problem.