In this letter we present the primary continuum parameters , the photon index \Gamma and the high energy cut-off E _ { c } , of 41 type-1 Seyfert galaxies extracted from the INTEGRAL complete sample of AGN .
We performed a broad band ( 0.3-100 keV ) spectral analysis by fitting simultaneously the soft and hard X-ray spectra obtained by XMM and INTEGRAL/IBIS - Swift/BAT respectively in order to investigate the general properties of these parameters in particular their distribution and mean values .
We find a mean photon index for the whole sample of 1.73 with a standard deviation of 0.17 and a mean high energy cut-off of 128 keV with a standard deviation of 46 keV .
This is the first time that the cut-off energy is constrained in a such large number of AGN .
We have 26 measurements of the cut-off , which corresponds to 63 % of the entire sample , distributed between 50 and 200 keV .
There are a further 11 lower limits mostly below 300 keV .
Using the main parameters of the primary continuum , we have been able to obtain the actual physical parameters of the Comptonizing region i.e .
the plasma temperature kT _ { e } from 20 to 100 keV and the optical depth \tau < 4 .
Finally , with the high S/N spectra starting to come from NuSTAR it will soon be possible to better constrain the cut-off values in many AGN , allowing the determination of more physical models and so to better understand the continuum emission and geometry of the region surrounding black holes .