# numerical integration in matlab

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parham kianian on 12 Apr 2020
Answered: David Hill on 12 Apr 2020
Suppose A is a column vector whose arrays are acceleration of a moving object and each array has been sampled every 0.01 sec.
I want to numerically integrate A to evaluate the velocity time history of object. I did the following:
t = (0 : 0.01 : 0.01 * (length(A) - 1));%time as a column vector
V = zeros(size(A));%initiate velocity vector
for ii = 1 : length(A) - 1
V(ii+1) = V(ii) + trapz(t(ii:ii+1),A(ii:ii+1));
end
The above code works well but I have hundereds of acceleration vectors and peforming calculation using "for loop" is too much time consuming.
Is there any function in matlab to integrate without "for loop" over vectors?

David Hill on 12 Apr 2020
cumtrapz()

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