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Question Number 153808 by mathdanisur last updated on 10/Sep/21

$$\mathrm{If}0<\mathrm{a}⩽\mathrm{b}<1\mathrm{then}:$$ $$\underset{\mathbf{a}}{\stackrel{\mathbf{b}}{\int }}\underset{\mathbf{a}}{\stackrel{\mathbf{b}}{\int }}\underset{\mathbf{a}}{\stackrel{\mathbf{b}}{\int }}{\left(\frac{1-\mathrm{xyz}}{1+\mathrm{xyz}}\right)}^3\mathrm{dxdydz}⩾{\left(\underset{\mathbf{a}}{\stackrel{\mathbf{b}}{\int }}\frac{1-{\mathrm{x}}^3}{1+{\mathrm{x}}^3}\mathrm{dx}\right)}^3$$

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