  We apply singularity analysis to investigate the integrability properties of
the gravitational field equations in Weyl Integrable Spacetime for a spatially
flat Friedmann--Lema\^itre--Robertson--Walker background spacetime induced with
an ideal gas. We find that the field equations possess the Painlev\'e property
in the presence of the cosmological constant and the analytic solution is given
by a left Laurent expansion.
