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let-R-and-x-2-1-find-the-value-of-f-x-0-pi-ln-x-2-2x-cost-1-dt-calculate-f-x-




Question Number 32367 by prof Abdo imad last updated on 23/Mar/18
let α∈R and x^2 ≠1  find the value of  f(x) = ∫_0 ^π  ln(x^2 −2x cost +1)dt  calculate f(x).
$${let}\:\alpha\in{R}\:{and}\:{x}^{\mathrm{2}} \neq\mathrm{1}\:\:{find}\:{the}\:{value}\:{of} \\ $$$${f}\left({x}\right)\:=\:\int_{\mathrm{0}} ^{\pi} \:{ln}\left({x}^{\mathrm{2}} −\mathrm{2}{x}\:{cost}\:+\mathrm{1}\right){dt} \\ $$$${calculate}\:{f}\left({x}\right). \\ $$

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