  By analyzing the large-angle Bhabha scattering events $e^{+}e^{-}$ $\to$
($\gamma$)$e^{+}e^{-}$ and diphoton events $e^{+}e^{-}$ $\to$ $\gamma\gamma$
for the data sets collected at center-of-mass (c.m.) energies between 2.2324
and 4.5900 GeV (131 energy points in total) with the upgraded Beijing
Spectrometer (BESIII) at the Beijing Electron-Positron Collider (BEPCII), the
integrated luminosities have been measured at the different c.m. energies,
individually. The results are the important inputs for R value and $J/\psi$
resonance parameter measurements.
