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Math Help - evaluate this integral

  1. #1
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    evaluate this integral

    evaluate this integral-1111.jpg
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  2. #2
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    Quote Originally Posted by szpengchao View Post
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    \int_{S} \textbf{F}.\textbf{dS} = \int_{V} \text{div}(\textbf{F})\, dV

    Compute divergence of F,

    \int_{V} \text{div}(\textbf{F})\, dV = \int_{0}^1\int_{0}^1\int_{0}^1 \nabla .\textbf{F}\, dx\,dy\,dz
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  3. #3
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    i did

    what about evaluate this directly ?

    what is dS going to be???
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  4. #4
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    Quote Originally Posted by szpengchao View Post
    what about evaluate this directly ?

    what is dS going to be???
    dS is the area element. So you need to take that for each face of the cube. It always points outward from the volume.

    -Dan
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