The Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus stands as a cornerstone in mathematical theory, providing a profound and elegant connection between the concepts of differentiation and integration. Coined by Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century, this theorem fundamentally transforms the understanding of calculus. It articulates the relationship between a function's rate of change and its accumulated value, serving as a powerful tool in mathematical analysis. As a pivotal theorem with far-reaching applications in various fields, the Fundamental Theorem of Calculus remains a foundational principle, shaping the way mathematicians approach and comprehend the intricate world of calculus.