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find-A-n-0-1-x-n-1-x-x-2-dx-n-natural-




Question Number 107859 by mathmax by abdo last updated on 13/Aug/20
find A_n =∫_0 ^1  x^n (√(1+x+x^2 ))dx  (n natural)
$$\mathrm{find}\:\mathrm{A}_{\mathrm{n}} =\int_{\mathrm{0}} ^{\mathrm{1}} \:\mathrm{x}^{\mathrm{n}} \sqrt{\mathrm{1}+\mathrm{x}+\mathrm{x}^{\mathrm{2}} }\mathrm{dx}\:\:\left(\mathrm{n}\:\mathrm{natural}\right) \\ $$

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