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Question Number 100190 by  M±th+et+s last updated on 25/Jun/20

∫_0 ^1 ((x^x /((1−x)^(1−x) ))−(((1−x)^(1−x) )/x^x ))dx

$$\int_{\mathrm{0}} ^{\mathrm{1}} \left(\frac{{x}^{{x}} }{\left(\mathrm{1}−{x}\right)^{\mathrm{1}−{x}} }−\frac{\left(\mathrm{1}−{x}\right)^{\mathrm{1}−{x}} }{{x}^{{x}} }\right){dx} \\ $$

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