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From December 2011 to May 2014, about 5 $\rm fb^{-1}$ of data were taken withthe BESIII detector at center-of-mass energies between 3.810 GeV and 4.600 GeVto study the charmoniumlike states and higher excited charmonium states. Thetime integrated luminosity of the collected data sample is measured to aprecision of 1% by analyzing events produced by the large-angle Bhabhascattering process.

Precision measurement of the integrated luminosity of the data taken by BESIII at center of mass energies between 3.810 GeV and 4.600 GeV