Question: Develop a Matlab function mySimpson38 that calculates I = R y(x)dx using the composite Simpson's 3/8 method for a set of discrete data points (xi;

Develop a Matlab function mySimpson38 that calculates I = R y(x)dx using the composite Simpson's 3/8 method for a set of discrete data points (xi; yi) that are equally spaced. If the number of subintervals is not divisible by 3 because there is 1 extra subinterval, calculate the integral of the last 4 subintervals using Simpson's 1/3 method. If there are 2 extra subintervals, calculate the integral for the last 2 subintervals using Simpson's 1/3 method. If the number of subintervals is zero (= 1 data point only), the function shall return a value of zero for the integral. If the number of subintervals is one (= 2 data points only), the function shall use the trapezoidal method on the single interval. If the vectors x and y are not of equal length, the function shall execute Matlab's function error("...") with an appropriate error message. As input the function shall take the column vectors x and y that contain the data points. As output the function shall give the calculated integral

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