how to calculate the definite integral of a function in matlab

To calculate the definite integral of a function in MATLAB, you can use the "quad" or "integral" function. Here is an example of how to use the "quad" function:

main.m
% Define the function f(x) to be integrated
f = @(x) x^2 + 2*x + 1;

% Define the limits of integration
a = 0;
b = 2;

% Calculate the definite integral of f(x) from a to b
integral_value = quad(f, a, b);
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Alternatively, you can use the "integral" function:

main.m
% Define the function f(x) to be integrated
f = @(x) x^2 + 2*x + 1;

% Define the limits of integration
a = 0;
b = 2;

% Calculate the definite integral of f(x) from a to b
integral_value = integral(f, a, b);
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Both of these functions perform numeric integration to calculate the definite integral of the function. The "quad" function uses a recursive adaptive Simpson's rule algorithm, while the "integral" function uses an adaptive Lobatto quadrature formula.