Integument rhymes with:
argument, argument, adamant, argument, armament, complement, condiment, detriment, diamant, disarmament, element, excrement, experiment, filament, impediment, implement, increment, instrument, ligament, ornament, orpiment, parliament, predicament, rearmament, regiment, sacrament, sediment, sentiment, supplement, temperament, tenement, testament, tournament, vehement
Integument sounds like:
indecent, indigent, indignant, indignity, inducement