doubt vs infer

doubt

verb
  • To be undecided about; to lack confidence in; to disbelieve, to question. 

noun
  • Disbelief or uncertainty (about something); (countable) a particular instance of such disbelief or uncertainty. 

infer

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

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

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