The Collaborative International Dictionary of English v.0.48:

Incurious \In*cu"ri*ous\, a. [L. incuriosus: cf. F. incurieux.
   See In- not, and Curious.]
   Not curious or inquisitive; without care for or interest in;
   inattentive; careless; negligent; heedless.
   [1913 Webster]

         Carelessnesses and incurious deportments toward their
         children.                                --Jer. Taylor.
   [1913 Webster]

WordNet (r) 3.0 (2006):

incurious
    adj 1: showing absence of intellectual inquisitiveness or
           natural curiosity; "strangely incurious about the cause
           of the political upheaval surrounding them" [ant:
           curious]

Moby Thesaurus II by Grady Ward, 1.0:

61 Moby Thesaurus words for "incurious":
   absent, absentminded, abstracted, aloof, apathetic, ataractic,
   blase, bored, careless, casual, detached, devil-may-care,
   disinterested, dispassionate, disregardant, disregardful, distant,
   distracted, distrait, distraught, easygoing, heedless, impassive,
   inadvertent, inattentive, indifferent, inexcitable, inobservant,
   insouciant, lackadaisical, listless, mindless, negligent,
   nonchalant, perfunctory, phlegmatic, pococurante, preoccupied,
   reckless, regardless, remote, stolid, thoughtless, turned-off,
   unanxious, unconcerned, undiscriminating, unheedful, unheeding,
   uninquiring, uninterested, uninvolved, unmarking, unmindful,
   unnoticing, unnoting, unobservant, unobserving, unremarking,
   unsolicitous, withdrawn