Theorem of Calculus

The Fundamental Theorem of Calculus links two main ideas in calculus: differentiation and integration. It states that if you have a function’s accumulated total (area under the curve) from a starting point to a variable point, then the rate at which this total changes at any point is just the original function's value at that point. In simpler terms, it shows that integration and differentiation are inverse processes. This means you can find the total accumulated value by integrating, and find the rate of change by differentiating, connecting the two in a precise way.