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Math Help - Surface Integrals

  1. #1
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    Surface Integrals

    Evaluate ∫∫ F dS if F(x, y, z) = xi + yj and the positive oriented surface σ is?

    (a) The portion of the plane x + y + z = 1 bounded by x = 0 , y = 0 and z = 0 .

    first.. z = 1 - x - y.. then, i find dz/dx = dz/dy = -1..
    next, sqrt[(dz/dx)^2 + (dz/dy)^2 + 1] = sqrt3

    i just don't know how to proceed with integration of xi + yj..
    should i change something from this equation..?
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Surface Integrals

    Quote Originally Posted by nameck View Post
    Evaluate ∫∫ F dS if F(x, y, z) = xi + yj and the positive oriented surface σ is?
    Perhaps you meant \vec{F}\cdot \vec{n} instead of \vec{F} .
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