let-s-give-n-from-N-find-the-value-of-0-1-1-x-2-n-2-sin-n-arctan-x-dx-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 26059 by abdo imad last updated on 18/Dec/17

let s give n from N find the value of ∫_0 ^1 (1 +x^2 )^(n/2) sin(n arctan(x))dx

$${let}\:{s}\:{give}\:{n}\:{from}\:{N}\:\:{find}\:{the}\:{value}\:{of} \\ $$$$\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\left(\mathrm{1}\:+{x}^{\mathrm{2}} \:\right)^{{n}/\mathrm{2}} \:{sin}\left({n}\:{arctan}\left({x}\right)\right){dx} \\ $$

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