Find the area enclosed by the curve in 1st quadrant (where denotes greatest integer…

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Find the area enclosed by the curve

\lfloor x \rfloor + \lfloor y \rfloor = 4

in 1st quadrant (where

\lfloor \cdot \rfloor

denotes greatest integer function).