You only need to submit the $.$ c file for each assignment. Your assignments are:

You are asked to show how good Simpson's rule can be$,$ and decide to write a

program to demonstrate. Write a program to calculate:

${\displaystyle \underset{1}{\overset{8}{}}}a{x}^{}+bx+cdx$

both exactly and using the Simpson's rule. The program should read $,a,b$ and

$c$ and the number of steps for Simpson's rule. It should then print out the exact

integral, the estimate using Simpson's rule and the difference in the two answers.

Experiment with the program to see when the answer is exact $($e$.$g$.=1,2,3,4?),$

even with a small number of steps.

Hint $1$: You can use any functions from math.h$.$ For example, you may want to use

pow $(x,y)$ to get $x^y.$

Hint $2$: You may want to include a function $F(x)$ which is an anti$-$derivative for

$f(x)=a{x}^{}+bx+c.$