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Question Number 145408 by Dwaipayan Shikari last updated on 04/Jul/21

$${\int }_0^x\lfloor u\rfloor (\lfloor u\rfloor +1)f\left(u\right)du=\underset{n=1}{\sum ^{\lfloor x\rfloor }}n{\int }_n^{x}f\left(u\right)du$$$$Provethat$$

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