Write the following integration routines: 1) a Left Handed Riemann Sum routine 2

Question

Write the following integration routines:

1) a Left Handed Riemann Sum routine

2) a Right Handed Riemann Sum routine

3) A trapazoidal Riemann Sum routine

4) A routine which uses Simpson's rule (see:http://en.wikipedia.org/wiki/Simpson's_rule for moreinformation.)

C++ prototypes:

double lhrs(double f[], double x[], int num)

double rhrs(double f[], double x[], int num)

double trap(double f[], double x[], int num)

double simpsons(double f[], double x[], int num)

where f[] holds values of the function to be integrated and x[]the x coordinates of the points such that f[i]=f(x[i]), and botharrays are of length num.

Explanation / Answer

/* Wrote the function for left riemann sum, right riemann sum,trapzoidal rule, simpson's rule */ #include #include using namespace std; double lhrs(double f[], double x[], int num) {    double LRS=0.0;    for(int i=1; i

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