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Question Number 31066 by abdo imad last updated on 02/Mar/18

find  I_n =∫_0 ^(π/2)  cos^(2n+1) xdx.

$${find}\:\:{I}_{{n}} =\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:{cos}^{\mathrm{2}{n}+\mathrm{1}} {xdx}. \\ $$

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