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2-2-2x-2-8-1-2-y-x-2-1-2-y-x-2-3x-2-3z-2-dzdydx-




Question Number 194591 by horsebrand11 last updated on 11/Jul/23
   ∫_(−2) ^2  ∫_(2x^2 ) ^8   ∫_(−(√((1/2)y−x^2 ))) ^(√((1/2)y−x^2 ))  ((√(3x^2 +3z^2 )) )dzdydx
$$\:\:\:\underset{−\mathrm{2}} {\overset{\mathrm{2}} {\int}}\:\underset{\mathrm{2x}^{\mathrm{2}} } {\overset{\mathrm{8}} {\int}}\:\:\underset{−\sqrt{\frac{\mathrm{1}}{\mathrm{2}}\mathrm{y}−\mathrm{x}^{\mathrm{2}} }} {\overset{\sqrt{\frac{\mathrm{1}}{\mathrm{2}}\mathrm{y}−\mathrm{x}^{\mathrm{2}} }} {\int}}\:\left(\sqrt{\mathrm{3x}^{\mathrm{2}} +\mathrm{3z}^{\mathrm{2}} }\:\right)\mathrm{dzdydx} \\ $$

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