Description: 
This GUI demonstrates the numerical intergration of an improper
integral using different methods:
 Trapezoidal Rule (not implemented here since the function f used is not defined at x=0; this serves as an example to show that closed NewtonCotes formulas cannot be applied for the particular example).
 Midpoint Rule, the simplest open NewtonCotes formula.
 Midpoint Rule with regularisation.
 Gauss Qaudrature with special points.
The convergence plot of these methods is shown with error
vs. number of function evaluations. The integral used for the
comparison is
1
Int (cos(x)/sqrt(x)) dx
0
Limits of integration used are from 0 to 1. Note that the
integrand approaches infinity at x=0, the integral is thus
improper.
After unzipping, please start the program with improper_int.
This file was written by Faisal Baig, with financial support by the SelfStudy Online project of the University of Stuttgart.
