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Prove-0-50x-8-x-20-2x-10-1-dx-pi-




Question Number 219620 by Nicholas666 last updated on 29/Apr/25
              Prove;             ∫_( 0) ^( ∞)  ((50x^8 )/(x^(20) +2x^(10) +1)) dx = φπ
$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:{Prove};\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\int_{\:\mathrm{0}} ^{\:\infty} \:\frac{\mathrm{50}{x}^{\mathrm{8}} }{{x}^{\mathrm{20}} +\mathrm{2}{x}^{\mathrm{10}} +\mathrm{1}}\:{dx}\:=\:\phi\pi \\ $$$$ \\ $$
Answered by Spillover last updated on 01/May/25

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