This application can be used to compare right, left, and midpoint Riemann sums as well as the concept of the integral
1. Enter a function
2. Select the upper (b) and lower (a) bounds as well as the number of rectangles (n)
3. Adjust the axes for your diagram
4. Check the box next to the sum you would like to see

1. How do the sums compare?
2. Which sum is an overestimate? underestimate? Are they always the same?
3. Which sum seems to be most accurate?
4. What happens as the number of rectangles increase?
5. As the number of rectangles approach infinity what is the result?