Abstract: We report on a measurement of the D+-meson production cross section as a function of transverse momentum (pT) in proton-antiproton (pp) collisions at 1.96 TeV center-of-mass energy, using the full data set collected by the Collider Detector at Fermilab in Tevatron Run II and corresponding to 10 fb-1 of integrated luminosity. We use D+?K-?+?+ decays fully reconstructed in the central rapidity region |y|<1 with transverse momentum down to 1.5 GeV/c, a range previously unexplored in pp collisions. Inelastic pp-scattering events are selected online using minimally biasing requirements followed by an optimized offline selection. The K-?+?+ mass distribution is used to identify the D+ signal, and the D+ transverse impact-parameter distribution is used to separate prompt production, occurring directly in the hard-scattering process, from secondary production from b-hadron decays. We obtain a prompt D+ signal of 2950 candidates corresponding to a total cross section ?(D+,1.5

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