Write a code in matlab that implements reimann sums where points are added in between existing points, The function should take four arguments: A function that returns the funtion value at a wanted point, the integration bounds, and the relative error.

Integrate the functions

a.) sin(x) over (a,b)=(0,pi)

b.) cos(6 pi x) exp(-4x) over (a,b)=(0, 11/2)