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

f(x,y) = x^{2}+ y^{2}over the triangular region with vertices (0,0), (1,0), (0,1)

2. Relevant equations

3. The attempt at a solution

[tex]\int[/tex]from 0 to 1-x[tex]\int[/tex]from 0 to 1 of x^{2}+ y^{2}dydx = [tex]\int[/tex]from 0 to 1-x of (1/3)y^{3}evaluated from 0 to 1 dx

= [tex]\int[/tex] from 0 to 1-x of (1/3) dx

= (1/3)x evaluated from 0 to 1-x

=(1/3)(1-x)

According to the book, the answer is 1/6... How do I know what the value of x is?

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# Double Integrals

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