put one's back into vs quest

put one's back into

verb
  • Synonym of strive: to apply oneself. 

quest

verb
  • To seek or pursue a goal; to undertake a mission or job. 

  • To locate and attach to a host animal. 

  • To search for something; to seek. 

noun
  • A short test. 

  • A journey or effort in pursuit of a goal (often lengthy, ambitious, or fervent); a mission. 

  • The act of seeking, or looking after anything; attempt to find or obtain; search; pursuit. 

How often have the words put one's back into and quest occurred in a corpus of books? (source: Google Ngram Viewer )