173 graph I wanted

With a graph showing on the screen of a TI-83 or -84, do Calc menu (above Trace button), then 7:[integral]f(x)dx. This gets you a Lower limit? and Upper limit? and then shades the area involved, as well as calculating the result.

In class, we had this sequence:

  

Next, calling on the integral:

  

And here's the result:

 

Unfortunately, you have to do this over again for different limits of the integral. To get around that, you have two options: [1] imagination; [2] write a program!