Consider the definite integral

Z $6$

$0$

dx

x$4+2.$a

$($a$)$ Write the Composite Simpson$$s rule formula with $2$M subintervals.

$($b$)$ Write a Python program which computes the approximate value with the Com$-$

posite Simpson$$s 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.