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find-I-n-0-1-1-t-2-n-dt-




Question Number 30559 by abdo imad last updated on 23/Feb/18
find  I_n = ∫_0 ^1  (1−t^2 )^n dt  .
$${find}\:\:{I}_{{n}} =\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\left(\mathrm{1}−{t}^{\mathrm{2}} \right)^{{n}} {dt}\:\:. \\ $$

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