Rectangular and Trapezoidal Integral Approximations

This worksheet examines the constructions and accuracies of different integral approximation methods. In particular, the checkboxes allow you to view the exact area and to toggle between rectangles with right, left, middle and "p, (1-p) center points" for 0≤p≤1. You can also view trapezoidal approximations. The area of each approximation is shown at the bottom left side of the worksheet.

To examine the accuracies for different functions, simply input a function using the syntax "f(x)=*insert function here*" into the input bar.

This is a Java Applet created using GeoGebra from - it looks like you don't have Java installed, please go to

Chris Stover, Created with GeoGebra