let-put-for-lt-1-u-n-0-pi-cos-nx-1-2-cosx-2-dx-find-u-n-interms-of-n-and-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 30548 by abdo imad last updated on 23/Feb/18

let put for ∣λ∣<1 u_n = ∫_0 ^π ((cos(nx))/(1−2λcosx +λ^2 ))dx find u_n interms of n and λ.

$${let}\:{put}\:\:{for}\:\mid\lambda\mid<\mathrm{1}\:\:\:\:{u}_{{n}} =\:\int_{\mathrm{0}} ^{\pi} \:\:\:\:\:\frac{{cos}\left({nx}\right)}{\mathrm{1}−\mathrm{2}\lambda{cosx}\:+\lambda^{\mathrm{2}} }{dx}\: \\ $$$${find}\:{u}_{{n}} \:{interms}\:{of}\:{n}\:{and}\:\lambda. \\ $$

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let-put-for-lt-1-u-n-0-pi-cos-nx-1-2-cosx-2-dx-find-u-n-interms-of-n-and-

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