Upper and Lower Sums Applet
Explore how upper and lower sums work with different functions. Input your own functions, move the slider to change the number of rectangles, slide the points to change the area being affected, and turn on or off specific areas.
1. How accurately does the Upper Sum estimate the integral? How well does the Lower Sum estimate the integral?
2. How does changing the number of rectangles affect the estimates of the Upper and Lower Sum?