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Step-by-step solution to the integral of tan⁻¹((2x-1)/(1+x-x²)) from 0 to 1, demonstrating symmetry and inverse trigonometric identities.

A mathematical solution showing the evaluation of the integral ∫₀¹ tan⁻¹((2x-1)/(1+x-x²)) dx, including steps using substitution and properties of inverse tangent functions.

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