please solve part a using python and show all work. thanks

In this assignment, you must use variables, loops, if statements, your own function definitions and function calls to write the required functions. For now, you may not use any of the powerful functions available in python modules, with two exceptions: you may import functions from the math module and the copy module. You must include reasonable comments in your code. a) Write a function defined as: Nei Simpson (icn, a, b, npoints F 21) Purpose: use Simpson's 1/3 rule to estimate the integral of fon(x), between the limits of a and b. icn: the function we want to integrate a and D: the lower and upper limits of integration npoints: The number of integration points used in the range a to (inclusive). mpoints must be an ODD number. If npoints is not ODD, then add 1 to make it odd! return value: the estimate of the integral Write and call a main() function that uses your Simpson function to estimate and print the integral of: x - 3cos(x); with a=1, b=3, npoints = 10 cos (2x)=x": with a=2, b=3, npoints = 23