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Question Number 118084 by bemath last updated on 15/Oct/20

$$\mathrm{suppose}\mathrm{f}:[1,3]\to [-1,1]\mathrm{such}$$$$\mathrm{that}\underset{1}{\stackrel{3}{\int }}\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=0.\mathrm{What}\mathrm{the}\mathrm{maximum}$$$$\mathrm{value}\mathrm{of}\underset{1}{\stackrel{3}{\int }}{\mathrm{x}}^{-1}.\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}?$$

Commented by john santu last updated on 16/Oct/20

$$max=2\ln 2-\ln 3$$

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