In the context of the AdS/CFT correspondence, we perform a direct computati
on in AdS(5) supergravity of the trace anomaly of a d = 4, N = 2SCFT. We fi
nd agreement with the field theory result up to next to leading order in th
e 1/N expansion. In particular, the order N gravitational contribution to t
he anomaly is obtained from a Riemann tensor squared term in the 7-brane ef
fective action deduced from heterotic - type I duality. We also discuss, in
the AdS/CFT context, the order N corrections to the trace anomaly in d = 4
, N = 4 SCFTs involving SO or Sp gauge groups.