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Question Number 94093 by MAB last updated on 16/May/20

$$evaluatetheinequalityforn⩾2$$ $$(\frac{\pi }{2}-\frac{1}{n})\frac{1}{\sqrt[n]{n}}<{\int }_{\frac{1}{n}}^{\frac{\pi }{2}}\sqrt[n]{sin\left(t\right)}dt$$

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