Write program using C

Write a program that can calculate the arc length of a curve. For any function f, the arc length of the curve between points (a, f(a) and (b,f(b) is defined as: 11+ (f'(x))2dx b S () a Writing the code You will need to input the 4 arguments. The first argument (function) is an integer, but the remaining 3 arguments are all floating-point arguments, so use the double type and the atof function instead of atoi. You will need to write a loop that increments x in steps of Ax from a to b to sum up the integral. Inside the loop, you will need to check the function variable to select the right f function and f' derivative. You won't need to evaluate f(x) in your code - just f'(x). You can use your Calc 1 math to figure out the derivative of the 3 functions. For example, when f(x) = x, f'(x) = 1, and g(x) = V2. Note, that even though it is possible to calculate the integral ahead of time for some of the functions, you should always use the summation method that is shown above. = To calculate the square root, you will need to use the sqrt function which is part of the built-in math library. Make sure you add #include at the beginning of your file, so that your code knows about the sqrt function. For the e' function, you can use the code from the class exercise or use the built-in exp function in the math library