Measured core-collapse supernova rates with our NIR+optical (VLT/HAWK-I + NOT/ALFOSC) surveys presented here and VLT/ISAAC survey presented in Goobar et al. (2009). Core-collapse supernova rate measurements from the literature are also shown; we plot the results with normal host galaxy extinction. Error bars are statistical with total errors (statistical and systematic added in quadrature) as a transparent/faded extra error bar for all surveys. The various lines represent cosmic star formation histories from several authors scaled with . The best-fitted value to the rates data of the scale factor k_CC = 0.00930 ± 0.00096 is also shown.