# Calculus For All

Calculus Level 3

$\large\ \int { \frac {x - 1}{(x + x\sqrt { x } + \sqrt { x }) \sqrt { \sqrt { x } ( x + 1) } } dx } = 4\tan ^{ -1 }{ \left( g( x) \right)} + C$

If the above equation holds true for real-valued function $$g(x)$$ and an arbitrary constant of integration $$C$$, find the value of $$\left \lfloor g^{ 2 }(1) \right\rfloor$$.

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

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