[高斯散度定理][Guass divergence][90交大]

[FATTY2108 (阿肥好想進台大)]

解題者是 [e-mail] (賦別),

 作者  [e-mail] (賦別),                        看板  Math

> The outward flux of F = (y-x)i + (z-y)j +(y-x)k across the boundary
> of the region
>   D:the cube bounded by the planes x=±1,y=±1,z=±1
> is______________
>                                                  (90交大微積分會考)
> Ans:-16  請問要怎麼算啊？

   total flux = ∮F.da

              = ∫div(F)dτ    by Guass divergence theorem

                 1 1 1
              = ∫∫∫(-2)dxdydz = -16
                -1-1-1

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