act up vs behave

act up

verb
  • To misbehave; to cause trouble. 

  • To perform the duties of an appointment senior to that actually held; to deputise for a superior. 

behave

verb
  • To act, conduct oneself in a specific manner; used with an adverbial of manner. 

  • To act in a polite or proper way. 

  • To conduct (oneself) well, or in a given way. 

How often have the words act up and behave occurred in a corpus of books? (source: Google Ngram Viewer )