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The dependence on Q{sup 2} (the negative square of the 4-momentum of the exchanged virtual photon) of the generalised Gerasimov-Drell-Hearn integral for the proton has been measured in the range 1.2 GeV{sup 2}<Q{sup 2}<12 GeV{sup 2} by scattering longitudinally polarised positrons on a longitudinally polarised hydrogen gas target. The contributions of the nucleon-resonance and deep inelastic regions to this integral have been evaluated separately. The latter has been found to dominate for Q{sup 2}>3 GeV{sup 2}, while both contributions are important at low Q{sup 2}. The total integral shows no significant deviation from a 1/Q{sup 2} behavior in the measured Q{sup 2} range, and thus no sign of large effects due to either nucleon-resonance excitations or nonleading twist.