(Student Research Project) Numerical integration is an ideal problem for use on a parall...

(Student Research Project) Numerical integration is an ideal problem for use on a parallel computer, since the interval of integration can be subdivided into subintervals on each of which the integral can be approximated simultaneously and independently of each other. Investigate how numerical integration can be done in parallel. If you have access to a parallel computer or can simulate a parallel computer on a collection of PCs, write a parallel program to approximate π by using the standard example

with a basic rule such as the midpoint rule. Vary the number of processors used and the number of subintervals. You can read about parallel computing in books such as Pacheco [1997], Quinn [1994], and others or at any of the numerous sites on the Internet.