Approximation of integrals

1. Load Riemann package

This Mathematica notebook uses the package Riemann.m, which you will need to open and execute in a separate window. Once that is done, you can use the command PlotRiemann. There are several options for this command:

?PlotRiemann

2. Approximating integrals

Now we're ready to experiment. Here's an example to get you started; experiment with changing the function, the end points, the number of subintervals, and the type of Riemann sum...

PlotRiemann[
      Sin[x^2], {x, 0, 
        5}, {AspectRatio -> Automatic}, {Subintervals -> 10, 
        Height -> LeftSide}]