A simple analytical formula is derived for the total rate of small angle radiative Bhabha scattering, using the no-recoil approximation. This expression illustrates how radiative processes soften the forward angle singularity so that the cross-section for all electrons which have radiated an energy larger that a given amount DELTAE, is only logarithmically divergent as m(e) --> 0. Estimate of the total integrated rate at a phi-factory are given, and a comparison is made with existing calculations.