simpsons rule to find area under the curve in matlab

To use Simpson's rule to find the area under the curve of a function in Matlab, you can use the integral function with the 'Simpson' method.

First you need to define the function you want to integrate, let's say we want to find the area under the curve of f(x) = x^2 between 0 and 1:

main.m
f = @(x) x.^2; % define the function
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Then you can use the integral function to find the area under the curve using Simpson's rule:

main.m
area = integral(f, 0, 1, 'Simpson'); % find the area under the curve of f between 0 and 1
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The output variable area will contain the value of the area under the curve.

Note that you can also use other numerical methods to find the area under the curve, such as the trapezoidal rule ('trapezoid') or Gaussian quadrature ('Gauss').