  Extending a result of D.V. Vassilevich, we obtain the asymptotic expansion
for the trace of a "spatially" regularized heat operator associated with a
generalized Laplacian defined with integral Moyal products. The Moyal
hyperplanes corresponding to any skewsymmetric matrix $\Theta$ being spectral
triples, the spectral action introduced in noncommutative geometry by A.
Chamseddine and A. Connes is computed. This result generalizes the Connes-Lott
action previously computed by Gayral for symplectic $\Theta$.
