Calculus is Weird. Why Is the Area Related to the Slope? Fundamental Theorem Explained.

Calculus revolves around two key concepts: derivatives and integrals. Derivatives describe a function's slope, while integrals represent the area under a curve. The Fundamental Theorem of Calculus reveals a surprising connection between these ideas: integrals and derivatives are inverse operations. This means integrating a function is equivalent to undoing its derivative, simplifying complex calculations. Understanding this relationship makes solving calculus problems much easier than traditional methods like summing infinitesimal areas.