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find-I-n-pi-2-pi-2-e-ax-cos-2n-xdx-

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Question Number 31068 by abdo imad last updated on 02/Mar/18
find I_n =∫_(−(π/2)) ^(π/2) e^(−ax) cos^(2n) xdx .
$${find}\:\:{I}_{{n}} =\int_{−\frac{\pi}{\mathrm{2}}} ^{\frac{\pi}{\mathrm{2}}} \:{e}^{−{ax}} \:{cos}^{\mathrm{2}{n}} {xdx}\:\:. \\ $$

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