Riemann Sums

Choose a function, start value, end value and number of rectangles to show the upper and lower Riemann Sums.

Questions:
1. What happens to the difference between the upper and lower sums as n gets larger?

2. Is there a better method we could use than upper sum or lower sum?

3. What is the purpose of a Riemann sum?

Dixie Christensen, 31 October 2013, Created with GeoGebra