The study of heavy-flavor production in proton-proton collisions is of particular interest for quantum chromodynamics (QCD), as charm and beauty quarks possess large masses and are thus mainly created in hard partonic scattering processes. Cross sections obtained from measurements of charm and beauty hadrons allow to constrain theories and to provide important parameters for model calculations. The ALICE experiment recently provided measurements in a higher, so far unexplored energy region,

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... h allows for the first tests of predictions of p T -differential cross sections from pQCD in this new energy domain. In the ALICE detector system, heavy-flavor hadron production is measured through the reconstruction of hadronic decays of D mesons at mid-rapidity and via semileptonic decay channels of charm and beauty hadrons at forward and mid-rapidity. We report on the analysis performed in pp collisions at center of mass energies of 2.76 and 7 TeV at the LHC which allowed us to measure the p T -differential cross section of D mesons and leptons from decays of heavy-flavor hadrons. Furthermore, the D-meson yield at mid-rapidity was also studied as a function of the multiplicity of charged particles produced in the collision. We discuss recent results from these analyses.