demonstrate vs elucidate

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. 

elucidate

verb
  • To make clear; to clarify; to shed light upon. 

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