> du Châtelet took the idiosyncratic mathematical proofs relating to the laws of attraction that had been most scrutinized by Newton’s critics and recast his geometrical equations into integral calculus.
This is an important point vis-a-vis the history of calculus. Newton used a geometric formulation of calculus. The continent, meanwhile, and eventually everyone else, use Liebniz’s formulation of calculus. That engendered a something of a divide that kept people on the continent from crediting Newton’s work. In addressing criticisms of Newton’s work, du Chatelet redid Newton’s equations using Liebniz’s formulation of calculus. It’s not necessarily click bait to say that was transformative, given that a lot of subsequent development of calculus and physics happened in France.