From Middle French exulter, from Latin exsultō, frequentative of exsiliō (“jump up”), from ex- + saliō (“jump, leap”).
exult (third-person singular simple present exults, present participle exulting, simple past and past participle exulted)
- (intransitive) To rejoice; to be very happy, especially in triumph.
1957, Jack Kerouac, On the Road, Viking Press, OCLC 43419454:
I took a deep breath; a locomotive howled across-the darkness, Mobile-bound. So were we. I took off my shirt and exulted.
Do not confuse exult (“rejoice”) (intransitive) with exalt (“praise”) (transitive).