conquer vs win out

conquer

verb
  • To acquire by force of arms, win in war; to become ruler of; to subjugate. 

  • To defeat in combat; to subjugate. 

  • To overcome an abstract obstacle. 

win out

verb
  • To be victorious. Usually of emotions and human qualities. 

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