let-U-n-0-e-t-n-arctan-t-dt-find-a-equivalent-of-U-n-n-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 35631 by abdo mathsup 649 cc last updated on 21/May/18

let U_n = ∫_0 ^∞ e^(−(t/n)) arctan(t)dt find a equivalent of U_n (n→+∞)

$${let}\:{U}_{{n}} =\:\int_{\mathrm{0}} ^{\infty} \:\:\:{e}^{−\frac{{t}}{{n}}} \:\:{arctan}\left({t}\right){dt} \\ $$$${find}\:{a}\:{equivalent}\:{of}\:{U}_{{n}} \:\:\left({n}\rightarrow+\infty\right) \\ $$

Facebook Tweet Pin

let-U-n-0-e-t-n-arctan-t-dt-find-a-equivalent-of-U-n-n-

Leave a Reply Cancel reply