Using the disk (slab) method, approximate the volume of the solid of revolution which is obtained by rotating the area of the region bounded by the graphs of the function

the lines **x = -1**, **x = 1** and the **x**-axis around the
**x**-axis.

Using Microcalc:

- Choose
*Beginning Calculus*from the initial menu and press . - Use the arrow keys to move to the menu item
*Volume by Slabs*, press and . - At the prompt
*F(x) =*, enter the formulax^3 - x + 1 - Enter the bounds at the prompts
*x_0 =*-1*x_1 =*1

- At the prompt for the number of approximating slabs,
*N =*, enter 10 - and you will see the following graph of the approximating rectangles:
- Then you will see the rotation of each of these rectangles in turn. Press
to stop the rotation:
- Press any other key to continue the generation.
- After the disks are drawn, if you press then you will see
the numerical approximation: