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calculate-A-n-0-1-x-n-1-x-1-x-dx-with-n-integr-natural-




Question Number 57226 by maxmathsup by imad last updated on 31/Mar/19
calculate A_n =∫_0 ^1  x^n (√((1−x)/(1+x)))dx  with n integr natural
$${calculate}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \:{x}^{{n}} \sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}}{dx}\:\:{with}\:{n}\:{integr}\:{natural} \\ $$

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