demonstrate vs show oneself

demonstrate

verb
  • to show, display, or present; to prove or make evident 

  • to show the steps taken to create a logical argument or equation. 

  • to show how to use (something). 

  • to participate in or organize a demonstration. 

show oneself

verb
  • Used other than figuratively or idiomatically: see show, oneself. 

  • To expose one's genitalia, especially in an inappropriate setting; to expose oneself. 

How often have the words demonstrate and show oneself occurred in a corpus of books? (source: Google Ngram Viewer )