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

(Q) Compute the surface integral g = xy over the triangle x+y+z=1,

x,y,z>=0.

2. Relevant equations

3. The attempt at a solution

The triangular region basically means that the region in consideration is a

plane and not a sphere, cylinder etc.....

Therefore, we can let the region r be defined as r = xi + yj + (1-x-y)k.

thus, partial derivative of r w.r.t x = i-k and that w.r.t y = j-k.

their cross product comes to -i+j+k. the modulus of this is of course

sqrt(3).

So the double integral will be the double integral over region R of

sqrt(3)xydA.

the problem is, I have no idea as to how I can find the limits of this

double integral.

Please advice.

Thank-you very much for your time and effort!!!!!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Surface Integral

**Physics Forums | Science Articles, Homework Help, Discussion**