Program must be written in C programming

Create a function of type void to explain the program to the user with the description printed to the terminal. Do not forget to call the function from main().

Input the data while executing from your main() function. Query the user to enter the data. You must enter the parameters from the user in the following order: a, b, c and then x_i, x_f and . Use double for all variables and calculations.

Your program is to loop over all possible x values in your main() function. The first x value is to be x_i, the second

x_i + , etc. with the last value being x_f (or somewhat less than x_f if does not divide evenly into the range).

The calculation of the area A depends on the initial value of x, x_i . That is, for each x, we calculate the area as

A=F(x)-F(x_i), . In order to calculate A, you must know both x and x_i. For the first value of x, it should be that A is zero.

From main() and for each x, you are to call a call-by-reference function that accepts a, b, c, x and x_i that calculates and returns (via pointer operations) f(x), f'(x) and A. That is, you must create a single function that accepts five input parameters (a, b, c, x and ), and returns three outputs (related to , and A). There must not be any scan/print statements in your function.

Your function uses the values of a, b and c along with the value of x to compute . Similarly, the derivative is computed as . Then, using x_i in addition to the other parameters, compute and . The area is found as . Return the result of your calculations back to the main() function (it will be necessary to reference your outputs via pointers).

All output for your table of x versus f(x), f'(x) and A must be displayed via statements in your main() function. Write your table to the terminal (i.e., the default output for printf()). Choose a suitable format for your output numbers.