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calculate-f-x-0-pi-ln-x-2-2xcos-1-d-with-x-real-




Question Number 73225 by mathmax by abdo last updated on 08/Nov/19
calculate f(x)=∫_0 ^π ln(x^2 −2xcosθ +1)dθ  with x real.
$${calculate}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\pi} {ln}\left({x}^{\mathrm{2}} −\mathrm{2}{xcos}\theta\:+\mathrm{1}\right){d}\theta\:\:{with}\:{x}\:{real}. \\ $$

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