Question: Write a Matlab function which computes the integral by Simpson's rule. Your function should be used by the following command in Matlab command window: >>

 Write a Matlab function which computes the integral by Simpson's rule.

Write a Matlab function which computes the integral by Simpson's rule. Your function should be used by the following command in Matlab command window: >> v = Simpson(fun, a, b, n) where fun is a function handle of f(x), and a, b is the interval, and n is the number of sub-intervals (i.e., 2n+1 will be the number of points.) Test your function on problem 1. Write a script that computes, for n = 2, 4, 8, 16, 32, 128, the absolute error for each n, and a plot (with log log) of the absolute error against n. Compute the convergence order numerically (compare the error change when n doubled)

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