When integrating this function, we are looking for a curve whose derivative is dt=8264 gallons. Definite IntegralsĪn indefinite integral is an integral without limits of integration for example, That is, you are integrating over an interval whose endpoints you use to evaluate the integral. Recall that a definite integral is an integral where you are given the limits of integration. This theorem establishes the procedure for computing a definite integral. Here, we will focus on the first statement, which is referred to as the First Fundamental Theorem of Calculus. There are two parts to the Fundamental Theorem: the first justifies the procedure for evaluating definite integrals, and the second establishes the relationship between differentiation and integration. The Fundamental Theorem of Calculus brings together two essential concepts in calculus: differentiation and integration.
