Matlab Integration with syntax

Depending on nature of θ, you shall have to choose between the integral or the trapz function. If θ is being modelled as an analytical expression or a function, then use the integral function. However, if θ is a discrete value array or matrix, then use the trapz function.

Assuming that θ is an function of t, you can integrate it using the integral function by passing the function you are integrating as a function handle. Along with the function handle, you can pass the lower and upper limits of the integral to obtain the integrated output. Here is an example that does this:

% Define v and the function theta(t)
v = 1; % Example value, replace as needed
theta = @(t) t; % Example function, theta(t) = t
% Define the function to integrate
x = @(t) v * cos(theta(t));
% Define the integration limits
t_start = 0;
t_end = 10;
% Perform the integration
result = integral(x, t_start, t_end);
% Display the result
disp(['The integral of x(t) from ', num2str(t_start), ' to ', num2str(t_end), ' is: ', num2str(result)]);
The integral of x(t) from 0 to 10 is: -0.54402

You can reference the input argument section in the documentation of the integral function using the link below:

https://www.mathworks.com/help/releases/R2024b/matlab/ref/integral.html#btbbkta-3

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Matlab Integration with syntax

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