A measurement of the CP asymmetry in B+ -> K+ mu(+)mu(-) decays is presented using pp collision data, corresponding to an integrated luminosity of 1.0 fb(-1), recorded by the LHCb experiment during 2011 at a center-of-mass energy of 7 TeV. The measurement is performed in seven bins of mu(+)mu(-) invariant mass squared in the range 0.05 < q(2) < 22.00 GeV2/c(4), excluding the J/psi and psi(2S) resonance regions. Production and detection asymmetries are corrected for using the B+ -> J/psi K+ decay as a control mode. Averaged over all the bins, the CP asymmetry is found to be A(CP) = 0.000 +/- 0.033 (stat) +/- 0.005 (syst) +/- 0.007 (J/psi K), where the third uncertainty is due to the CP asymmetry of the control mode. This is consistent with the standard model prediction.
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