In this paper we present INTEGRAL observations of 7 AGNs : two newly discovered type 1 Seyferts , IGR J18027-1455 and IGR J21247+5058 , and five well known Seyferts , NGC 6814 ( type 1.5 ) , Cyg A ( Type 2 ) , MCG-05-23-16 ( type 2 ) , ESO 103-G035 ( type2 ) and GRS1734-292 . For IGR J18027-1455 and IGR J21247+5058 only INTEGRAL/IBIS data were available , while broadband spectra are presented and discussed for the remaining 5 sources for which either BeppoSAX or ASCA data were used in conjunction with INTEGRAL measurements . In the cases of NGC 6814 and GRS 1734-292 , data taken in different periods indicate variability in the flux : in the case of NGC 6814 by a factor of 16 over a period of about 10 years . Although limited in size , our sample can be used to investigate the parameter space of both the photon index and cut-off energy . The mean photon index is 1.8 , while the cut-off energy ranges from 30-50 keV to greater than 200 keV ; in the particular case of MCG-05-23-16 , ESO 103-G035 and GRS 1734-292 the cut-off energy is well constrained at or below 100 keV . We have also tested an enlarged sample , which includes INTEGRAL data of 3 more AGNs , against the correlation found by a number of authors between the photon index and the cut-off energy but have found no evidence for a relation between these two parameters . Our analysis indicates that there is a diversity in cut-off energies in the primary continuum of Seyfert galaxies .