Assignment #13

In order to find the volume (V) of the solid when revolving "f(x)=1/x" about the x-axis you must do the following:

V=integral of (1/x)dx * pi [0,infinite)

V=(ln infinite - ln(1)) * pi 

V=pi

In order to find the Surface Area (SA) you must do the following:

SA=((1-(x^(-4)))^(1/2))dx from [1,infinite) * pi * integral of 1/(x^2)dx

SA=infinite

This is not a paradox because the volume approaches a finite number (pi) as the function approaches infinite and the surface area does not approach a finite number as the function approaches infinite.