engage vs relieve

engage

verb
  • To guarantee or promise (to do something). 

  • To enter into conflict with (an enemy). 

  • To come into gear with. 

  • To enter into (an activity), to participate (construed with in). 

  • To draw into conversation. 

  • To mesh or interlock (of machinery, especially a clutch). 

  • To attract, to please; (archaic) to fascinate or win over (someone). 

  • To engross or hold the attention of; to keep busy or occupied. 

  • To arrange to employ or use (a worker, a space, etc.). 

  • To bind through legal or moral obligation (to do something, especially to marry) (usually in passive). 

  • To enter into battle. 

relieve

verb
  • To release (someone) from or of a difficulty, unwanted task, responsibility etc. 

  • To ease (someone, a part of the body etc.) or give relief from physical pain or discomfort. 

  • To ease (a person, person's thoughts etc.) from mental distress; to stop (someone) feeling anxious or worried, to alleviate the distress of. 

  • To free (someone) from debt or legal obligations; to give legal relief to. 

  • To alleviate (pain, distress, mental discomfort etc.). 

  • To urinate or defecate. 

  • To ease one's own desire to orgasm, often through masturbation to orgasm. 

  • To bring military help to (a besieged town); to lift the siege on. 

  • To free (someone) from their post, task etc. by taking their place. 

  • To provide comfort or assistance to (someone in need, especially in poverty). 

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