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Mathematics

The Fundamental Theorem of Calculus: Connecting Area and Slope

Quick fact

The theorem was formalized independently by Isaac Newton and Gottfried Leibniz in the 17th century, even though the ideas of area and slope had been studied for centuries before.

Why this is interesting

You've probably seen how to find the slope of a curve and the area under it—but did you know these two seemingly different tasks are actually two sides of the same coin?