# Question #6a05f

##### 1 Answer

The volume is

The integral using the method of disks is

#### Explanation:

From the figure I am assuming that the problem is rotating

Using the shell method our radius will be some value of

The shell height is just the function

So the integral using the shell method is

We can evaluate this integral using integration by parts.

Let

Let

so

The parts formula is

Proceeding we have

Evaluating

Now onward with the disk method.

We have to get things in terms of

So

We will integrate over the interval

Our radius is

Using the method of disks the integral for the volume is