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find-I-n-x-n-arctan-x-dx-with-n-integr-natural-

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Question Number 60335 by maxmathsup by imad last updated on 20/May/19
find I_n = ∫ x^n arctan(x)dx with n integr natural.
$${find}\:{I}_{{n}} =\:\int\:\:{x}^{{n}} \:{arctan}\left({x}\right){dx}\:\:{with}\:{n}\:{integr}\:{natural}. \\ $$

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