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find-I-n-0-1-x-n-1-x-2-dx-with-n-integr-natural-




Question Number 71801 by mathmax by abdo last updated on 20/Oct/19
find  I_n =∫_0 ^1 x^n (√(1+x^2 ))dx  with n integr natural
$${find}\:\:{I}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{{n}} \sqrt{\mathrm{1}+{x}^{\mathrm{2}} }{dx}\:\:{with}\:{n}\:{integr}\:{natural} \\ $$

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