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calculate-0-pi-ln-1-2xcos-x-2-d-with-x-lt-1-




Question Number 74798 by mathmax by abdo last updated on 30/Nov/19
calculate ∫_0 ^π ln(1−2xcosθ +x^2 )dθ  with ∣x∣<1
$${calculate}\:\int_{\mathrm{0}} ^{\pi} {ln}\left(\mathrm{1}−\mathrm{2}{xcos}\theta\:+{x}^{\mathrm{2}} \right){d}\theta\:\:{with}\:\mid{x}\mid<\mathrm{1} \\ $$

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