Design by C++ Using subroutines (VOID) write a program to perform numerical integration of f(x)=x^2*sin(x)*exp(x^2) over x=[0,Pi] having a choice of (i) rectangular rule (ii) the 1/3 Simpson’s rule...

Design by C++

Using subroutines (VOID) write a program to perform numerical integration of

     f(x)=x^2*sin(x)*exp(x^2) over x=[0,Pi] having a choice of

    (i) rectangular rule

    (ii) the 1/3 Simpson’s rule

    Divide the domain into N subsections, where N=5,10,20,40. Compare your results.