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

Painlev\'e analysis for the cosmological field equations in Weyl Integrable Spacetime