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∫1812⌊ln⌈1x⌉⌋dx= ?\large \int_{\frac{1}{8}}^{\frac{1}{2}} \left \lfloor \ln \left \lceil \dfrac{1}{x} \right \rceil \right \rfloor dx = \, ?∫8121⌊ln⌈x1⌉⌋dx=?
Notations: ⌊⋅⌋ \lfloor \cdot \rfloor ⌊⋅⌋ denotes the floor function and ⌈⋅⌉ \lceil \cdot \rceil ⌈⋅⌉ denotes the ceiling function.
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