We investigate the cosmic evolution of the absolute and specific star formation rate (SFR, sSFR) of galaxies as derived from a spatially-resolved study of the stellar populations in a set of nearby galaxies from the CALIFA survey. The results show again the uniqueness of the CALIFA survey to characterize the cosmic evolution of the spatially- resolved SFR and stellar mass of galaxies. Also the success of the fossil record of the stellar populations of this sample of nearby galaxies to derive ρSFR, sSFR, and ρ⋆, that are in good agreement with the results from the snapshot galaxy surveys in a large range of redshifts. Thanks to the spatially-resolved information of the CALIFA data, we can retrieve the contributions of different regions, mainly representative by the current bulges and disks of early type and spirals to ρSFR , and ρ⋆ .