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 MPP3D:

  1. Enter to change type.
  2. Use arrow keys to move to 7. y=f(x) rotated about y=c and press .
  3. Enter the bounds:
    Xmin -1 Xmax 1
    Ymin -1.5 Ymax -1.5
  4. At the prompt for function, y=f(x), type x^3-x+1
  5. Press
  6. At the prompt, Grid_size, type 40
  7. At the prompt, Angles of view, type 135
  8. Press to draw the graph.