Let $\bar { H } = - 3 x \vec { i } - 2 x y \vec { j } + x z ^ { 2 } \vec { k }$

question 58

Short Answer

Let $\bar { H } = - 3 x \vec { i } - 2 x y \vec { j } + x z ^ { 2 } \vec { k }$ ,
What is $\int _ { S } \bar { H } \cdot \bar { dA }$ , where S is the cube with corners at (0, 0, 0), (1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1, 0), (1,0,1), (0,1,1), and (1, 1, 1)?

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