00:01
In this question, it is given that region is bounded by the curves.
00:06
Curves are y is equal to 4 over the root of x plus 1, y is equal to 0, x is equal to 0 and x is equal to 2.
00:18
Now we are interested in the volume of the solid form by this result.
00:22
So let's find the limits of integration.
00:27
Now, the region is bounded by x is equal to 0 and x is equal to 2.
00:35
So the limits of the integration will be from 0 to 2.
00:42
Now let's set up the integral using cylindrical shell method.
00:51
So the volume element of a cylindrical shell is given by 2 pi r h dx, where r is the distance from the axis of rotation and h is the height of the shell.
01:05
So h is the difference between any two curves.
01:09
So h is equal to 4 over under root x plus 1 minus 0, which is equal to 4 over under root x plus 1...