# Math Help - Surface integrals

1. ## Surface integrals

Upper part of sphere x^2+y^2+z^2=b^2 i.e z=>0

Vector Field F=[y^2*cos(x*z),x^3*e^(y*z),-e^(x*y*z)]

n is a normal unit vector to the surface to the upper part of the sphere with posetive k koordinate

doubble integral (z*n-curlF)*ndS

Calculate the surface integral

I have tried but ending up with but ending up with a unsolouble integral. I have used r= 0 to b and theta= o to 2*Pi

Kjell

2. ## Re: Surface integrals

Originally Posted by kjell
Upper part of sphere x^2+y^2+z^2=b^2 i.e z=>0

Vector Field F=[y^2*cos(x*z),x^3*e^(y*z),-e^(x*y*z)]

n is a normal unit vector to the surface to the upper part of the sphere with posetive k koordinate

doubble integral (z*n-curlF)*ndS

Calculate the surface integral

I have tried but ending up with but ending up with a unsolouble integral. I have used r= 0 to b and theta= o to 2*Pi

Kjell

3. ## Re: Surface integrals

I have Tried divF with theta from 0 to Pi and phi from 0 to Pi/2 and rho from 0 to b, but no results

Kjell

4. ## Re: Surface integrals

I have now solved the problem

Kjell