despair vs hang in

despair

noun
  • That which causes despair. 

  • Loss of hope; utter hopelessness; complete despondency. 

  • That which is despaired of. 

verb
  • To be hopeless; to have no hope; to give up all hope or expectation. 

  • To cause to despair. 

hang in

verb
  • To remain in a particular place or status. 

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