Write a VBA program to evaluate this integral using Simpsons 1/3 rule. Input the lower and upper limits and the first n from InputBox in the main Sub, Sub1. But output from a 2nd Sub. Put the 1/3 rule in a 3rd Sub called by the main program. Use a function for the integrand. Note: you will need to include logic to account for the alternating 4s and 2s. Probably the easiest way is to include two for loops.

In the main Sub check your input to see that the input value of n is even. If not MsgBox a warning and leave the program and stop calculation.

Begin with n=2. Compute the relative error, Ea, as the difference between the present value and the previous value. (For n=2 the previous value was zero.) Put the call to Simpson inside a Do While loop and double n each time until you get an Ea value less than 10^(-5) in magnitude or you have made 15 attempts.

Output should include each iterated value, and the corresponding values of n and Ea.