Use of 'ArrayValued' in Matlab numerical integration
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Davide Masiello on 23 Sep 2022
Edited: Davide Masiello on 23 Sep 2022
Let's take a look at the error message
f = @(x) 5;
The important line here is "Output of the function must be the same size as the input".
I believe this could be due to the fact that integral passes a whole array of x-values in the attempt to integrate the function within the default tolerances.
If your functions does not depend on x, then the ouput would be a single scalar and therefore different from the input.
Specifing 'ArrayValued' as true, you tell the solver that the output must be an array the same size as the x passed to it.
In fact, you could try to integrate an equivalent function where the dependance on x is explicit, and it would work without specifying 'ArrayValued' as true.
f = @(x) 5*(x-x+1);