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Question Number 130133 by talminator2856791 last updated on 22/Jan/21

$$$$$$$$$$\mathrm{solve}\mathrm{for}x$$$$$$$${\int }_0^x\underset{m=0}{\sum ^{\lceil x\rceil }}{x}^{\ln m+1}dx=x^2,$$$$$$$$\mathrm{where}\lceil x\rceil \mathrm{is}\mathrm{the}\mathrm{smallest}\mathrm{integer}\mathrm{greater}\mathrm{than}x$$$$$$$$$$

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