  Dwarf irregular galaxies (dIrrs), as rotationally-supported systems, have
more reliable J-factor measurements than dwarf spheroidal galaxies and have
received attention as targets for dark matter detection in recent years. In
this paper, we use 10 years of IceCube muon-track data and an unbinned
maximum-likelihood-ratio method to search for neutrino signals beyond the
background from the directions of 7 dIrrs, aiming to detect neutrinos produced
by heavy annihilation dark matter. We do not detect any significant signal.
Based on such null results, we calculate the upper limits on the
velocity-averaged annihilation cross section for 1 TeV - 10 PeV dark matter.
Our limits, although weaker than the strictest constraints in the literature in
this mass range, are also a good complement to the existing results considering
the more reliable J-factor measurements of dIrrs.
