Problem:
Use Simpson's Rule to approximate the area bounded by the graph of

f(x) = cos3(x)

between x = 0 and x = 3 and the x-axis. Use N = 6 (3 parabolas).

Visualization:
Using MPP:

  1. At the main menu, either enter 3 or use the arrow keys to move to 3. Integral and press
  2. At the prompt, Interval of integration, type in 0 for a and 3 for b.
  3. At the prompt for function, type (cos(x))^3
  4. At the prompt, Method 1 type S
  5. At the prompt, Number of intervals, type 6
  6. Press to draw the graph.
  7. At this point, you will see the graph.