If-0-x-f-t-dt-x-x-1-t-f-t-dt-then-the-value-of-f-1-is-

Question Number 9723 by supungamage001 last updated on 29/Dec/16

$$\mathrm{If}\:\:\overset{{x}} {\int}_{\mathrm{0}} {f}\left({t}\right)\:{dt}\:=\:{x}+\underset{{x}} {\overset{\mathrm{1}} {\int}}\:{t}\:{f}\left({t}\right)\:{dt},\:\mathrm{then}\:\mathrm{the} \\ $$$$\mathrm{value}\:\mathrm{of}\:{f}\left(\mathrm{1}\right)\:\:\mathrm{is} \\ $$

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