compete vs take part

compete

verb
  • To take part in a contest, game or similar event 

  • To be in a position in which it is possible to win or triumph. 

  • To be in battle or in a rivalry with another for the same thing, position, or reward; to contend 

take part

verb
  • To participate or join. 

  • To share or partake. 

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