Riemann Sums

Use Reimann sums to approximate the area under the curve. Enter the function you want to examine into the box labled f(x)=. Then choose your endpoints using the sliders labeled a and b. You can also adjust the number of rectangles using the slider labeled n.

1. How did the upper and lower sums compare?

2. What happens when you increase the number of divisions (n)?

3. Do you agree that these approximations could be useful?

Anand Bernard, 24 October 2013, Created with GeoGebra