What does the Fundamental Theorem of Calculus state?

The Fundamental Theorem of Calculus states that if a function ( f ) is continuous on the interval ([a, b]), and ( F ) is an antiderivative of ( f ) on ([a, b]), then (\int_{a}^{b} f(x) , dx = F(b) - F(a)). In simpler terms, it shows the relationship between differentiation and integration, allowing us to calculate the total change of a function over an interval. Understanding this theorem is crucial for mastering integrals in Calculus AB and beyond.