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Question Number 65059 by mathmax by abdo last updated on 24/Jul/19

calculate  ∫_0 ^(+∞)   (dx/((x^2 −x+1)^4 ))

$${calculate}\:\:\int_{\mathrm{0}} ^{+\infty} \:\:\frac{{dx}}{\left({x}^{\mathrm{2}} −{x}+\mathrm{1}\right)^{\mathrm{4}} } \\ $$

Commented by ~ À ® @ 237 ~ last updated on 25/Jul/19

   look  for  the expression of g(x) in the previous question   then you will just have to find   g(1)

$$\: \\ $$$${look}\:\:{for}\:\:{the}\:{expression}\:{of}\:{g}\left({x}\right)\:{in}\:{the}\:{previous}\:{question}\: \\ $$$${then}\:{you}\:{will}\:{just}\:{have}\:{to}\:{find}\:\:\:{g}\left(\mathrm{1}\right) \\ $$

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