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let-give-n-3-integr-calculate-I-n-dx-1-x-x-2-x-n-1-




Question Number 33222 by prof Abdo imad last updated on 13/Apr/18
let give n ≥3 integr  calculate  I_n = ∫_(−∞) ^(+∞)      (dx/(1+x +x^2  +....+x^(n−1) ))
$${let}\:{give}\:{n}\:\geqslant\mathrm{3}\:{integr}\:\:{calculate} \\ $$$${I}_{{n}} =\:\int_{−\infty} ^{+\infty} \:\:\:\:\:\frac{{dx}}{\mathrm{1}+{x}\:+{x}^{\mathrm{2}} \:+….+{x}^{{n}−\mathrm{1}} } \\ $$

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