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find-I-n-0-pi-dx-1-cos-2-nx-with-n-N-




Question Number 28888 by abdo imad last updated on 31/Jan/18
find  I_n = āˆ«_0 ^Ļ€    (dx/(1+cos^2 (nx))) with nāˆˆ N^ā˜… .
$${find}\:\:{I}_{{n}} =\:\int_{\mathrm{0}} ^{\pi} \:\:\:\frac{{dx}}{\mathrm{1}+{cos}^{\mathrm{2}} \left({nx}\right)}\:{with}\:{n}\in\:{N}^{\bigstar} . \\ $$

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