Embedded acoustic black holes (EABHs) have been extensively studied in the last decades, however, in most circumstances it is prohibitive to alter the thickness of the host structure owing to rigidity limitations, therefore it is urgent to take another route of using them. In the present paper, the concept of integrated acoustic black holes (IABHs) are proposed for the purpose of exploiting the ABH effect via attaching IABHs, rather than via embedding them. As the research on the IABHs is still in its preliminary stage, the usefulness of the IABHs are characterized through Fourier expansion in the framework of Rayleigh-Ritz method. In particular, the coupling effects of the host structure and the IABHs are accounted for by taking the advantage of artificial springs. Results show that the IABHs are very effective once the IABHs are properly placed.