how can i solve numerically a vector integral?

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I have a plot of gaussian alike profile in matlab.
the plot presents the intensity (I) profile( E^2) as a function of location(radius) r.
i need to calculate the integral of I(r)*r*dr which is the area under the graph, i tried solving with trapz but the answer isnt correct, so how can i calculate this integral when
I(r) is a vector and r is a value i know?plot.PNG
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Torsten
Torsten 2019-1-16
As I wrote,
trapz(r_vector,r_vector.*intensity_vector)
if you want to approximate
integral(I(r)*r*dr )

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