  A search for time-integrated CP violation in D0 -> h-h+ (h=K, pi) decays is
presented using 0.62 fb^-1 of data collected by LHCb in 2011. The flavor of the
charm meson is determined by the charge of the slow pion in the D*+ -> D0 pi+
and D*- -> D0bar pi- decay chains. The difference in CP asymmetry between D0 ->
K-K+ and D0 -> pi-pi+, Delta ACP = ACP(K-K+) - ACP(pi-pi+), is measured to be
[-0.82 \pm 0.21(stat.) \pm 0.11(syst.)]%. This differs from the hypothesis of
CP conservation by 3.5 standard deviations.
