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Question Number 170547 by qaz last updated on 26/May/22

$$\underset{\mathrm{x}\to +\mathrm{\infty }}{\lim }\sqrt[3]{\mathrm{x}}{\int }_{\mathrm{x}}^{\mathrm{x}+1}\frac{\sin \mathrm{t}}{\sqrt{\mathrm{t}+\cos \mathrm{t}}}\mathrm{dt}=?$$

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