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calculate-0-x-n-x-2n-1-2-dx-n-2-integr-




Question Number 148815 by mathmax by abdo last updated on 31/Jul/21
calculate ∫_0 ^∞   (x^n /((x^(2n) +1)^2 ))dx     (n≥2  integr)
$$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{x}^{\mathrm{n}} }{\left(\mathrm{x}^{\mathrm{2n}} +\mathrm{1}\right)^{\mathrm{2}} }\mathrm{dx}\:\:\:\:\:\left(\mathrm{n}\geqslant\mathrm{2}\:\:\mathrm{integr}\right) \\ $$

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