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How to integrate dataset over a certain domain ?

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load data.txt
S_v = data(:,2);
T = data (:,1);
I_H = trapz(S_v); %Spectral_Intensity
Here it integrates over the whole domain. But how can I integrate within the specified range ?

Accepted Answer

Star Strider
Star Strider on 22 Apr 2021
load data.txt
S_v = data(:,2);
T = data (:,1);
Trange = (T >= 0.1) & (T <= 2.5);
I_H = trapz(T(Trange), S_v(Trange)); %Spectral_Intensity
will do what you want. (Not able to test it without ‘data.txt’.)
Do not use clear or clc. It is simply inefficient.
Sumit Saha
Sumit Saha on 23 Apr 2021
@Star Strider Thank you so much. I just want to ask that for such integration using trapz command is completely okay? Because I'm calculating all these things for earthquake engineering.
Star Strider
Star Strider on 23 Apr 2021
As always, my pleasure!
With vectors or arrays, the trapz funciton is the only option. The other integration functions require function handle arguments, and integrate the functions themselves between specific limits.

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