In both questions, take a as the last 2 digits of your student Id number. Consider the definite integral 6 0 dx/x4 + 2.a

(a) Write the Composite Simpsons rule formula with 2M subintervals. (b) Write a Python program which computes the approximate value with the Composite Simpsons rule formula written in part (a), for M = 1, 2, 3, 4, 5, 6, 7, 8 and prints the results as M = k, Sk =computed value, for k = 1, . . . , 8. (c) Return your solution file containing the solution of part (a), the Python code and the output of your Python code.