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Consider x,y in the domain D where D is the unit disc. Make an intuitive guess...

Consider x,y in the domain D where D is the unit disc. Make an intuitive guess for what the average 'x' value *should* be (draw a horizontal line through the disc, think about the average value of x on each interval). Similar what should the average value of y be? Using the "mean value equality", say what you would expect the value of the double integral of f(x,y) = x+y to be over the domain D (unit disc). Now, compute the double integral and see if you get the same answer.

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