- #1

- 228

- 0

## Homework Statement

f(x,y) = x

^{2}+ y

^{2}over the triangular region with vertices (0,0), (1,0), (0,1)

## Homework Equations

## 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?