(a). Develop a function in MATLAB Program that outputs the approximate integral of f,over [a,b] using polynomial of degree 4 for Trapezoid Rule , Simpsons Rule , Simpsons 3/8 Rule and Booles Rule.(b) Create a function in MATLAB that outputs the approximate integral of f,over [a,b] using polynomial of degree ,by splitting the interval [, ] to equi-spaced subintervals. 4 for Trapezoid Rule , Simpsons Rule , Simpsons 3/8 Rule and Booles Rule .