589

Part of 2010 Today's Calculation Of Integral

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Today's calculation of Integral 589

Source: created by kunny

Evaluate \int_0^1 \frac{x}{\{(2x\minus{}1)\sqrt{x^2\plus{}x\plus{}1}\plus{}(2x\plus{}1)\sqrt{x^2\minus{}x\plus{}1}\}\sqrt{x^4\plus{}x^2\plus{}1}}\ dx.

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