Integral Theorem

The Integral Theorem, often called the Fundamental Theorem of Calculus, links differentiation and integration. It states that if a function is continuous, then its integral from a fixed point to any other point gives a new function, whose rate of change (derivative) is the original function. In simpler terms, integrating a function accumulates its values, and differentiating that accumulation returns you to the original function. This theorem is crucial because it shows how the process of summing up small parts (integration) and finding rates of change (differentiation) are interconnected.