Find the volume of the solid of revolution formed by rotating the bounded region about the x-axis.
f(x)=1/√x-1, y=0, x=2, x=4.

Step-by-step explanation:

In this problem we want to find the volume of the solid pf revolution formed by rotating the bounded region about x-axis on the interval [a,b]=[2,4]  for the following function  

We can find the volume of any solid by integrating its area

where

Limits are

so,

As we know the integral of is equal to therefore, integrating yields,

evaluating limits yields,

as we know ln(1) is equal to 0 therefore,

step-by-step explanation: