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The aim of this paper is to formulate the best version of the Fundamental theorem of Calculus for real functions on a fractal subset of the real line. In order to do that an integral of HenstockKurzweil type is introduced.

Background:Anti-N-Methyl-D-Aspartate (NMDA) Receptor encephalitis is a common cause of autoimmune encephalitis, usually associated with ovarian teratoma, especially in young women. It's important to recognize quickly this type of encephalitis in order to give the patient the better chance to recover. Case:We report a typical case of anti-NMDA encephalitis associated to ovarian dermoid in a young woman. Neurological assessment revealed the presence of anti-NMDA autoantibodies in cerebrospinal fluid and TC abdomen revealed the presence of an ovarian dermoid. Surgery to remove the mass was performed and immunotherapy was started. Now she's doing well, and she only has a little memory deficit. Conclusion:Ovarian dermoid is common, instead enchephatis is a rare entity, so further investigations is needed to know more about this specific type of ovarian dermoid.