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We present measurements of the B+ meson total cross section and differential cross section dσ/dpT. The measurements use a 98±4 pb-1 sample of pp̅ collisions at √s=1.8 TeV collected by the CDF detector. Charged B meson candidates are reconstructed through the decay B±→J/ψK± with J/ψ→μ+μ-. The total cross section, measured in the central rapidity region |y|<1.0 for pT(B)> 6.0 GeV/c is 3.6±0.6 (stat⊕ syst), μb. The measured differential cross section is substantially larger than typical QCD predictions calculated to next-to-leading order.