  A series of data samples was collected with the Belle II detector at the
SuperKEKB collider from March 2019 to June 2022. We determine the integrated
luminosities of these data samples using three distinct methodologies involving
Bhabha ($e^+e^- \to e^+e^-(n\gamma)$), digamma ($e^+e^- \to
\gamma\gamma(n\gamma)$), and dimuon ($e^+e^- \to \mu^+ \mu^- (n\gamma)$)
events. The total integrated luminosity obtained with Bhabha, digamma, and
dimuon events is (426.52 $\pm$ 0.03 $\pm$ 2.48)~fb$^{-1}$, (427.32 $\pm$ 0.03
$\pm$ 2.56)~fb$^{-1}$, and (424.84 $\pm$ 0.04 $\pm$ 3.88)~fb$^{-1}$, where the
first uncertainties are statistical and the second are systematic. The
resulting total integrated luminosity obtained from the combination of the
three methods is (426.88 $\pm$ 1.93)~fb$^{-1}$.
