# Quadratika - Inspired by Sandeep Sir!

Calculus Level 3

$\large \displaystyle \int_0^{10} \left \lfloor \left ( \frac{4|x|}{x^2+16} \right)^m \right \rfloor \, dx$

Given that 1 lies between the roots (of $$y$$) of the equation $$y^2-my + 1 = 0$$, evaluate the integral above.

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