by-using-residus-theorem-find-the-value-of-A-n-0-dx-1-x-n-with-n-integr-and-n-2-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 28824 by abdo imad last updated on 30/Jan/18

by using residus theorem find the value of A_n = ∫_0 ^∞ (dx/(1+x^n )) with n integr and n≥2.

$${by}\:{using}\:{residus}\:{theorem}\:{find}\:{the}\:{value}\:{of} \\ $$$${A}_{{n}} =\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{{dx}}{\mathrm{1}+{x}^{{n}} }\:\:{with}\:{n}\:{integr}\:{and}\:{n}\geqslant\mathrm{2}. \\ $$

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by-using-residus-theorem-find-the-value-of-A-n-0-dx-1-x-n-with-n-integr-and-n-2-

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