absorb vs engage

absorb

verb
  • To occupy or consume time. 

  • in receiving sound energy without repercussion or echo. 

  • taking in radiant energy and converting it to a different form of energy, like heat. 

  • To engross or engage wholly; to occupy fully. 

  • To take in energy and convert it, as 

  • To suck up; to drink in; to imbibe, like a sponge or as the lacteals of the body; to chemically take in. 

  • To assume or pay for as part of a commercial transaction. 

  • To include so that it no longer has separate existence; to overwhelm; to cause to disappear as if by swallowing up; to incorporate; to assimilate; to take in and use up. 

  • Assimilate mentally. 

  • To accept or purchase in quantity. 

  • To be absorbed, or sucked in; to sink in. 

  • To defray the costs. 

  • in receiving a physical impact or vibration without recoil. 

engage

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

  • 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 guarantee or promise (to do something). 

  • 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. 

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