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∫0∞dx⌈x⌉2x\large \displaystyle\int_{0}^{\infty} \dfrac{dx}{\lceil x \rceil 2^x} ∫0∞⌈x⌉2xdx
Find the value of the above integral, to 2 decimal places if necessary.
Notation: ⌈⋅⌉ \lceil \cdot \rceil ⌈⋅⌉ denotes the ceiling function.
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