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Question Number 30426 by abdo imad last updated on 22/Feb/18

find  I_n = ∫_0 ^1    (dx/((1+x^2 )^n ))  with n integr.

$${find}\:\:{I}_{{n}} =\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{dx}}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{{n}} }\:\:{with}\:{n}\:{integr}. \\ $$

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