Lapse integration in quantum cosmology

We comment on the range of the lapse integration in quantum cosmology. We show by an explicit example that the range of the gauge-fixed lapse in the path integral need not be invariant under lapse rescalings in the action. In particular, the range appropriate for recovering a Green's function of the Wheeler-DeWitt operator may be smaller than semi-infinite. The importance of a careful treatment of the singularities in the lapse integral is emphasized.