Adapted from Ted Coe , All Sums ( Riemann Sums ). Added upper and lower sums.
This applet shows several Riemann Sums and allows the student to vary the number of intervals. Different sums are shown by check boxes.
It illustrates:
Convergence of upper and lower sums.
Other rectangular sums stay between upper and lower sums.
Shows Simpson's Rule gives accurate solutions with few point.