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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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