believe vs infer

believe

verb
  • To accept as true, particularly without absolute certainty (i.e., as opposed to knowing). 

  • To have religious faith; to believe in a greater truth. 

  • To accept that someone is telling the truth. 

  • To opine, think, reckon. 

infer

verb
  • To lead to (something) as a consequence; to imply. 

  • To introduce (something) as a reasoned conclusion; to conclude by reasoning or deduction, as from premises or evidence. 

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