The bremsstrahlung in the region of the Dalitz plot that covers exclusively the four-body events of unpolarized semileptonic decays of charged and neutral hyperons is described by very accurate analytical expressions. These expressions contain a logarithmic singularity at the upper edge of the plot. We perform the analytical integration and obtain divergentless formulas for the energy spectrum of the produced charged lepton. With these formulas for the four body region and the analogous for the three body region, the whole spectrum of physically possible events are covered. ©1999 American Institute of Physics.