corona [e.g. @matt2014ark120; @marinucci2015; @7213].

Thanks to its high-energy coverage, the Imager on-board [[*INTEGRAL*]{}]{} [IBIS; @ibis] allows us to obtain good measurements of the cut-off energy [@panessa2008; @molina2009; @derosa2012; @malizia2014] and of the coronal temperature [@lubinski2016]. In this paper, we present the [[*INTEGRAL*]{}]{}’s IBIS spectrum together with archival [[*XMM–Newton*]{}]{} and [[*NuSTAR*]{}]{} observations of two of the brightest Seyfert galaxies in the hard X-rays: [NGC 4388]{} and [NGC 2110]{}. In Sect. \[sec:data\] we report the data selection and reduction. In Sect. \[sec:analysis\] we report the spectral analysis. In Sect. \[sec:discussion\] we discuss the results and summarise the conclusions. The main properties of the two sources are summarised below.

NGC 4388
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[NGC 4388]{} is a nearby [$z=0.00842$, @lu1993], X-ray bright Seyfert galaxy, hosting a supermassive black hole of [($8.5 \pm 0.2) \times 10^{6}$]{} [M$_{\odot}$]{} [measured from the water maser; see @kuo2011]. This source has been observed by all of the major X-ray satellites. The hard X-ray spectrum is moderately absorbed by a column density of a few $\times {10^{23}}$ [cm$^{-2}$]{}, which is found to be variable on short time-scales [@elvis2004]. The soft X-ray spectrum below $\sim 2-3$ keV is dominated by emission of a hot plasma in an extended X-ray nebula 