- #1
mirandasatterley
- 62
- 0
Homework Statement
Find the volume of the region under the graph of f(x,y) = x+y and above the region y2≤x, 0≤x≤9
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 y2≤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)?