integrate a 2 column data set using repeated simpsons rule in matlab

Here's an example code for integrating a 2 column dataset using repeated Simpson's rule in MATLAB:

main.m
% load 2 column dataset from file
data = load('file.txt');
x = data(:,1); % extract x values
y = data(:,2); % extract y values

n = length(x);
if mod(n,2) ~= 0 % check if number of intervals is even
    error('Number of intervals must be even.');
end

h = x(2) - x(1); % find interval size
integral = y(1) + y(n); % add first and last terms

for i = 2:2:n-1
    integral = integral + 4*y(i);
end

for i = 3:2:n-2
    integral = integral + 2*y(i);
end

integral = integral*h/3; % multiply by interval size/3

disp(integral); % display result
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This code assumes that the dataset is stored in a text file with two columns, where the first column contains the x values and the second column contains the y values. The mod(n,2) ~= 0 line checks if the number of intervals is even, which is a requirement for Simpson's rule. The integral variable is initialized with the first and last terms of the formula, and then the appropriate terms are added using for loops. Finally, the result is multiplied by the interval size and divided by 3 to obtain the final result.

Make sure to change the file.txt to the actual filename of your data set.