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find-the-value-of-f-x-0-pi-ln-1-xcos-d-with-0-lt-x-lt-1-




Question Number 25796 by abdo imad last updated on 15/Dec/17
find the value of f(x)=∫_0^  ^π ln( 1+xcosθ)dθ with 0<x<1
$${find}\:{the}\:{value}\:{of}\:{f}\left({x}\right)=\int_{\mathrm{0}^{} } ^{\pi} {ln}\left(\:\mathrm{1}+{xcos}\theta\right){d}\theta\:{with}\:\mathrm{0}<{x}<\mathrm{1} \\ $$

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