Understanding the Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus is a crucial concept in calculus that relates the concept of differentiation and integration. It states that if a function is continuous on a closed interval [a, b] and F is an antiderivative of f on [a, b], then the definite integral of f from a to b is F(b) - F(a). In simpler terms, it provides a method for evaluating definite integrals by using antiderivatives. This theorem forms the backbone of many calculus problems and is essential for understanding the relationship between differentiation and integration.

In the next section, we'll delve deeper into the implications and applications of this theorem.