  The purpose of this paper is to enhance the conventional Komar integral to
asymptotically anti-de Sitter (AdS) black holes. In order to do so, we first
obtain a potential that is the linear combination of the usual Komar potential
with two third-order derivative terms generated by the action of the
d'Alembertian operator and the exterior derivative upon a Killing vector. Then
this higher-order corrected potential is extended to the Einstein gravity with
a negative cosmological constant, yielding the potential that is the linear
combination of the usual Komar one with it acted on by the d'Alembertian. The
surface integral of the improved Komar potential can serve as a formula for
conserved charges of asymptotically AdS spacetimes. Finally, we make use of
such a formula to compute the mass and the angular momentum of
Schwarzschild-AdS black holes, regular AdS black holes, asymptotically AdS
Kerr-Sen black holes, Kerr-NUT-AdS black holes, and Kerr-AdS black holes in
arbitrary dimensions. The results coincide with the ones in the literature.
