Simpsons Rule Demonstration

Shows parabolas used in Simpson's rule

Displays the function over the range of integration and the parabolas used to approximate the area under it.

The function accepts

f is a function in one variable
I is a 1x2 vector
m is the number of points used to create m parabolas.

and outputs the graphs of f over I and the m parabolas that will be used to approximate the area under f.