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find-A-n-x-0-1-1-t-2-n-cos-tx-dt-




Question Number 51993 by maxmathsup by imad last updated on 01/Jan/19
find A_n (x)=∫_0 ^1 (1−t^2 )^n cos(tx)dt
$${find}\:{A}_{{n}} \left({x}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \left(\mathrm{1}−{t}^{\mathrm{2}} \right)^{{n}} {cos}\left({tx}\right){dt} \\ $$

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