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

Question

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

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

Answer 1

The differential volume is from y=ln1 to y=ln3 from x=1 to 3

dv= 2PI y dx= 2PI ln x dx

V= INT 2PI ln x dx from x=1 to 3

V= 2PI (xlnx -x) from ...