This applet and accompanying activities illustrate Riemann sums through a series of interactive exercises. The applet allows the user to visualize the approximation of an integral with a number of rectangles created by a random partition. The number of subintervals can be varied by the user, and new random partitions can be generated automatically.
Open the pdf file and applet in separate windows (or print the pdf file instead) so you can work through the suggested activities.
Click here to download all five LaTeX activity files as a single compressed file. These have the same content as the posted pdf files. They are included in LaTeX form for those who would like to edit them for their own use.