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S-e-x-2-y-2-z-2-dA-




Question Number 219343 by SdC355 last updated on 23/Apr/25
∫∫∫_( S)  e^(−x^2 −y^2 −z^2 )  dA=???
$$\int\int\int_{\:\mathrm{S}} \:{e}^{−{x}^{\mathrm{2}} −{y}^{\mathrm{2}} −{z}^{\mathrm{2}} } \:\mathrm{dA}=??? \\ $$
Answered by Nicholas666 last updated on 23/Apr/25
4πR^2 e^(−R^2 )
$$\mathrm{4}\pi{R}^{\mathrm{2}} {e}^{−{R}^{\mathrm{2}} } \\ $$

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