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

Evaluate the double integral of yz dS. S is the surface with parametric equations x=(u^2), y=usinv, z=ucosv, 0<u<1, 0<v<(pi/2)

(all the "less than" signs signify "less than or equal to" here)

2. Relevant equations

double integral of dot product of (F) and normal vector over the domain

3. The attempt at a solution

When I solved for the normal vector, I crossed r_u X r_v and got 5u^4.

Then I solved the double integral of (u^4)sinvcosv(5u^4) dudv. u is from 0-->1 and v is from 0-->pi/2

My final answer came out to be pi/12, but it's wrong. Can anyone help?

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

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

# Homework Help: Surface integral evaluation

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