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lim-x-x-1-3-x-x-1-sin-t-t-cos-t-dt-




Question Number 170547 by qaz last updated on 26/May/22
lim_(x→+∞) (x)^(1/3) ∫_x ^(x+1) ((sin t)/( (√(t+cos t))))dt=?
$$\underset{\mathrm{x}\rightarrow+\infty} {\mathrm{lim}}\sqrt[{\mathrm{3}}]{\mathrm{x}}\int_{\mathrm{x}} ^{\mathrm{x}+\mathrm{1}} \frac{\mathrm{sin}\:\mathrm{t}}{\:\sqrt{\mathrm{t}+\mathrm{cos}\:\mathrm{t}}}\mathrm{dt}=? \\ $$

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