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## Homework Statement

[tex]S={(x,y,z): z=x+y^2, 0\leq x\leq1 , x\leq y \leq 1 [/tex]

## Homework Equations

A=a(S) = [tex]$

\int\int_R \sqrt{(1+(\frac{\partial f}{\partial x})^2 + (\frac{\partial f}{\partial y})^2\,dy\,dx[/tex]

## The Attempt at a Solution

[tex]S={(x,y,z): z=x+y^2, 0\leq x\leq1 , x\leq y \leq 1 [/tex]

I suppose I can write this as:

[tex]S={(x,y,z): z=x+y^2, y\leq x\leq1 , 0\leq y \leq 1 [/tex]

And so i think:

A=a(S) = [tex]$

\int_0^1\int_y^1 \sqrt{2+4y^2}\,dy\,dx[/tex]

If I calculate this I don't get the answer that I should..

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