The Collaborative International Dictionary of English v.0.48:
Exagitate \Ex*ag"i*tate\, v. t. [L. exagitatus, p. p. of
exagitare. See Ex-, and Agitate.]
1. To stir up; to agitate. [Obs.] --Arbuthnot.
[1913 Webster]
2. To satirize; to censure severely. [Obs.] --Hooker.
[1913 Webster]