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I'm trying to calculate a 2d integration with the result being an average.

Let the sum be x^2 + y^2 and the domain [-1 x 1; -3 y 3]

(The actual sum is more complicated but that's too difficult to write here)

so I thought:

1/(3+3) integrate 1/(1+1) integrate x^2 + y^2 dxdy

but my problem is that I'm not quiet sure as to where I have to add the values for the average to the calculation. The 1/6 to the first integration and 1/2 to the second or can I simply say 1/12 times the result after both integrations? I tried both and got different results and I don't have sollutions so I'm not sure which way to go.

Hexa

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# Integration with average

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