# Not So Rational Integration

Calculus Level 5

$\large I = \int_0^1 \dfrac{(2x-1)\ln x}{1-x^2} \, dx$

Find the value of the closed form of the above integral $$I$$.
Submit your answer as $$\lfloor 24I \rfloor$$.

Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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