Program for Arc Length by Brute Force: Write a program that calculates the approximate

Chapter 8, Problem 33

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Program for Arc Length by Brute Force: Write a program that calculates the approximate length of a curve by summing the lengths of the chords. Store the equation for the function in the Y = menu. Your program should allow you to input the lower and upper bounds of the domain and the number of increments to be used. The output should be the approximate length of the curve. To make the program more entertaining to run, you might have it display the increment number and the current sum of the lengths at each pass through the loop. You can assume that your program is working correctly if it gives 6.12417269... for the length of y = x2 from x = 1 to x = 2 (Example 1) with n = 30 increments.