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calculate-dx-x-2-1-2-x-4-x-1-




Question Number 135779 by mathmax by abdo last updated on 15/Mar/21
calculate ∫_(−∞) ^∞     (dx/((x^2  +1)^2 (x^4 −x+1)))
$$\mathrm{calculate}\:\int_{−\infty} ^{\infty} \:\:\:\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}^{\mathrm{4}} −\mathrm{x}+\mathrm{1}\right)} \\ $$
Commented by mathmax by abdo last updated on 16/Mar/21
the question is ∫_(−∞) ^(+∞)  (dx/((x^2  +1)^2 (x^4 −x^2  +1)))
$$\mathrm{the}\:\mathrm{question}\:\mathrm{is}\:\int_{−\infty} ^{+\infty} \:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}^{\mathrm{4}} −\mathrm{x}^{\mathrm{2}} \:+\mathrm{1}\right)} \\ $$

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