mightily vs under protest

mightily

adv
  • Enormously, to a great extent. 

  • In a mighty manner; with strength or force. 

  • Thoroughly; entirely. 

under protest

prep
  • of a payment made subject to dispute 

  • Without full agreement. 

  • while protesting 

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