Calculus, visualizations, animations, AP Calculus
RandomRiemann.nb takes a function, values for xmin and xmax, and a number n that represents the number of rectangles desired. This will create random subintervals with random points inside each subinterval, and then it will draw the corresponding Riemann sum. Values for the approximation and the actual value of the integral are given. This allows students to see how close (or distant) the approximation is and to visualize a wide variety of Riemann sums. Increasing values of n should help students understand the limiting process more clearly.
Dover, R. (2017). Random Riemann [Mathematica notebook]. Retrieved from http://digitalcommons.imsa.edu/mathematica_notebooks/23