  We measure the cosmic star formation history out to z = 1.3 using a sample of
918 radio-selected star forming galaxies within the 2 square degree COSMOS
field. To increase our sample size, we combine 1.4 GHz flux densities from the
VLA-COSMOS catalogue with flux densities measured from the VLA-COSMOS radio
continuum image at the positions of I < 26.5 galaxies, enabling us to detect
1.4 GHz sources as faint as 40 uJy. We find radio measurements of the cosmic
star formation history are highly dependent on sample completeness and models
used to extrapolate the faint end of the radio luminosity function. For our
preferred model of the luminosity function, we find the star formation rate
density increases from 0.019 Solar masses per year per cubic Mpc at z = 0.225
to 0.104 Solar masses per year per cubic Mpc, which agrees to within 33% of
recent UV, IR and 3 GHz measurements of the cosmic star formation history.
