self-conceit vs self-confidence

self-conceit

noun
  • Conceit of oneself; an overweening opinion of one's own powers or endowments; vanity. 

self-confidence

noun
  • A measure of one's belief in one's own abilities 

  • The state of being self-confident 

How often have the words self-conceit and self-confidence occurred in a corpus of books? (source: Google Ngram Viewer )