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.

C++ for Engineers and Scientists
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ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter6: Modularity Using Functions
Section6.4: A Case Study: Rectangular To Polar Coordinate Conversion
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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.

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