A surprising integral result
Calculus
Level
4
\[\large \displaystyle\int_{0}^{\infty} \dfrac{dx}{\lceil x \rceil 2^x} \]
Find the value of the above integral, to 2 decimal places if necessary.
\(\)
Notation: \( \lceil \cdot \rceil \) denotes the ceiling function.
by
Ariel Gershon