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Math Help - Surface integrals

  1. #1
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    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
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  2. #2
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    Re: Surface integrals

    Quote Originally Posted by kjell View Post
    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
    Maybe try spherical coordinates instead...
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  3. #3
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    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
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  4. #4
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    Re: Surface integrals

    I have now solved the problem

    Kjell
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