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find-the-value-of-I-0-pi-d-1-cos-4-




Question Number 28816 by abdo imad last updated on 30/Jan/18
find the value of  I= ∫_0 ^π    (dθ/(1+cos^4 θ)) .
$${find}\:{the}\:{value}\:{of}\:\:{I}=\:\int_{\mathrm{0}} ^{\pi} \:\:\:\frac{{d}\theta}{\mathrm{1}+{cos}^{\mathrm{4}} \theta}\:. \\ $$

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