Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis.

y=ln x, y=0, x=1, x=3

Please show the steps in your work, thanks! :)

2 answers

Each slab of width dx of the resulting solid is a circular disc with volume
pi (ln x)^2 dx

Integrate that function from x=1 to x=3.

You do the steps. We'll be glad to critique your work.
This may help you doing the integration:
http://www.karakas-online.de/forum/viewtopic.php?t=4026