verify the gauss divergence theorem f=(x^2 −yz)i^� +(y^2 −zx)j^� +(z^2 −xy)k^� over the region R bounded by the parallelepiped 0≤x≤a,0≤y≤b, 0≤z≤c


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Question Number 128591 by BHOOPENDRA last updated on 09/Jan/21

$v e r i f y t h e g a u s s d i v e r g e n c e t h e o r e m$ $f = (x^{2} - y z) \hat{i} + (y^{2} - z x) \hat{j} + (z^{2} - x y) \hat{k}$ $o v e r t h e r e g i o n R b o u n d e d b y t h e$ $p a r a l l e l e p i p e d 0 ⩽ x ⩽ a, 0 ⩽ y ⩽ b,$ $0 ⩽ z ⩽ c$
Commented by BHOOPENDRA last updated on 09/Jan/21

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