Problem:
Draw the solid of revolution which is obtained by rotating the area of the region bounded by the graph of the function

f(x) = x3 - x + 1

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

Visualization:
Using Microcalc:

  1. Choose Beginning Calculus from the initial menu and press .
  2. Use the arrow keys to move to the menu item Solids of Revolut., press and .
  3. At the prompt F(x) =, enter the formula
    x^3 - x + 1
  4. Enter the bounds at the prompts
    x_0 = -1
    x_1 = 1
  5. At the prompt for the maximum of |F(x)|, M = , enter 1.4
  6. and you will see the following graph

  7. Then you will see the generation of the solid in stages. Press to stop the generation:

  8. Press any other key to continue the generation.

  9. After the solid is graphed, then press to see the following: