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Question Number 36031 by kami last updated on 27/May/18

$$\mathrm{Q}.\mathrm{Evaluate}:{\int }_{\int \mathrm{xyzdxdydz}}^{\int \mathrm{zyxdzdydx}}{\int }_{\frac{\mathrm{d}}{\mathrm{dx}}\left({\mathrm{x}}^{\sin \mathrm{x}}\right)}^{\frac{\mathrm{d}}{\mathrm{dx}}\left({\mathrm{x}}^{\cos \mathrm{x}}\right)}{\int }_{\underset{x\to 0}{\lim }\frac{-{\mathrm{x}}^2+2}{\mathrm{x}}}^{\underset{x\to 0}{\lim }\frac{{\mathrm{x}}^2-2}{\mathrm{x}}}{\int }_0^{\mathrm{\infty }}{\mathrm{w}}^{1-\mathrm{x}}{\mathrm{x}}^{1-\mathrm{y}}{\mathrm{y}}^{1-\mathrm{z}}{\mathrm{z}}^{1-\mathrm{w}}\mathrm{dwdxdydz}$$

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