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Asked: 2026-05-27T20:36:22+00:00

I have the file data.txt with two columns and N rows, something like this:

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I have the file data.txt with two columns and N rows, something like this:

0.009943796 0.4667975
0.009795735 0.46777886
0.009623984 0.46897832
0.009564759 0.46941447
0.009546991 0.4703958
0.009428543 0.47224948
0.009375241 0.47475737
0.009298249 0.4767201
[...]

Every couple of values in the file correspond to one point coordinates (x,y).
If plotted, this points generate a curve. I would like to calculate the area under curve (AUC) of this curve.

So I load the data:

data = load("data.txt");
X = data(:,1);
Y = data(:,2);

So, X contains all the x coordinates of the points, and Y all the y coordinates.

How could I calculate the area under curve (AUC) ?

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1 Answer

  1. Editorial Team

    Easiest way is the trapezoidal rule function trapz.

    If your data is known to be smooth, you could try using Simpson’s rule, but there’s nothing built-in to MATLAB for integrating numerical data via Simpson’s rule. (& I’m not sure how to use it for x/y data where x doesn’t increase steadily)

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