calculate-U-n-1-n-n-1-1-t-2-arctan-1-1-t-dt-find-lim-n-U-n-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

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Question Number 113632 by mathmax by abdo last updated on 14/Sep/20

calculate U_n =∫_(1/n) ^n (1+(1/t^2 ))arctan(1−(1/t))dt find lim_(n→+∞) U_n

calculate U_{n} = \int_{\frac{1}{n}}^{n} (1 + \frac{1}{t^{2}}) \arctan (1 - \frac{1}{t}) dt

find \lim_{n \to + \infty} U_{n}

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