Playing with graphs 3

Calculus Level 5

\[y=\left \lfloor 6+x \left \lfloor \frac{1}{x}\right \rfloor \right \rfloor , \quad y^{2}-18x+18=0,\quad 6x-5y-6=0\]

Find the area bounded by curves above for \(x>1\).

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.


This is a submission to Problem Writing Party May 2016.
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