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Question Number 125490 by Dwaipayan Shikari last updated on 11/Dec/20

∫_0 ^1 ((x^3 −2)/((x^3 +1)^2 ))(√(x^3 −x^2 +1)) dx

$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{\mathrm{3}} −\mathrm{2}}{\left({x}^{\mathrm{3}} +\mathrm{1}\right)^{\mathrm{2}} }\sqrt{{x}^{\mathrm{3}} −{x}^{\mathrm{2}} +\mathrm{1}}\:{dx} \\ $$

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