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That is to say, suppose I have a bunch of data points over a rectangular region in xy plane, how to find the integral over this plane?

More explicitly, suppose I want to integrate over a square region, [0,4]x[0,4]

my data is

2 4 5 8 6

6 8 7 8 9

1 0 2 0 1

5 2 1 3 2

2 2 2 1 3

Therefore the value at (3,0) is 5, the value at (1,1) is 8, etc.

How to find the integral of these data over this square region?

If it were a 1D vector I am sure I can do it with trapz. But what about 2D? Thanks