- #1

- 4

- 0

**surface integral - urgent please help**

## Homework Statement

Let S be the surface x=z, x^2+y^2<=1, find ∫∫

_{S}(x^2+y^2)dS

## Homework Equations

∫∫

_{S}FdS = ∫∫

_{S}F(r

_{u}xr

_{v}

## The Attempt at a Solution

parametrized surface x=rcostheta y=rsintheta z=rcostheta

i dont know what to do about the partial derivatives regarding x=z did i use the wrong formula? would divergence theorem be better?

the correct answer is sqrt(2)pi/2

Last edited: