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Please-Help-S-x-2-dydz-y-2-dzdx-2z-xy-x-y-dxdy-where-S-is-the-surface-of-the-cube-0-x-1-0-y-1-0-z-1-




Question Number 198419 by Nimnim111118 last updated on 19/Oct/23
  Please Help...    ∫∫_S x^2 dydz+y^2 dzdx+2z(xy−x−y)dxdy where     S is the surface of the cube. 0≤x≤1, 0≤y≤1,      0≤z≤1
$$\:\:{Please}\:{Help}… \\ $$$$\:\:\int\underset{{S}} {\int}{x}^{\mathrm{2}} {dydz}+{y}^{\mathrm{2}} {dzdx}+\mathrm{2}{z}\left({xy}−{x}−{y}\right){dxdy}\:{where} \\ $$$$\:\:\:{S}\:{is}\:{the}\:{surface}\:{of}\:{the}\:{cube}.\:\mathrm{0}\leqslant{x}\leqslant\mathrm{1},\:\mathrm{0}\leqslant{y}\leqslant\mathrm{1}, \\ $$$$\:\:\:\:\mathrm{0}\leqslant{z}\leqslant\mathrm{1} \\ $$$$ \\ $$

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