(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the volume of the region under the graph of f(x,y) = x+y and above the region y^{2}≤x, 0≤x≤9

3. The attempt at a solution

From these equations, x will be integrated from 0-9, but i'm not sure about y.

My thinking is that y will be intgrated from 0-3 because y^{2}≤x and the smallest value of x is 0, and the square root of 0 is 0, so that is the smallest y, and the largest x value possible is 9 and the positive quare root of 9 is 3, so this is the largest value of y,

So I would integrate:

∫0-9∫0-3 (x+y)dydx.

Is this correct or am I missing something, where the limits of integration also involve using f(x,y)?

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# Homework Help: Iterated Integrals - setting up limits of integration

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