Problem:
Using Riemann sums and Derive, calculate the area bounded by the graph of

x2 - 2x + 5

the x-axis and the line x = 2.

Visualization:
Using Derive:

  1. If the first menu item is Algebra then press .
  2. Press for Author.
  3. Enter the function
    f(x) := x^2-2x+5
  4. Press again and enter
    sum(f(i (2/n)) (2/n),i,1,n)
  5. Press to Simplify and you will see

  6. Press again and enter
    lim(,n,inf)
  7. Press to Simplify and you will see