Hi, please solve the following questions and show Step by Step clear solutions for it. Its for Numerical methods course in chemical engineering. USE MATLAB SOFTWARE ONLY TO solve this question

6. Composite Simpson's Rule (Matlab) (a) Create a Matlab function simpson in a file simpson.m that uses the composite Simpson's rule to evaluate the integral of a function f over an interval (a, b). Parameters of trapezoid are a handle to the function f, the interval boundaries a. b and the number of subintervals N. (b) Use the function trapezoid to evaluate the elliptical integral I from question 4 with N 10, 20, 50, 100 subintervals