Question

Fundamental theory of definite integration

Answer 1

To do this we will need theFundamental Theorem of Calculus, Part II. Suppose is a continuous function on [a,b] and also suppose that is any anti-derivative for . Then, ... So, to evaluate a definite integral the first thing that we're going to do is evaluate the indefinite integral for the function.
Hope it helps

Answer 2

The first part of the theorem, sometimes called the first fundamental theorem of calculus, states that one of the antiderivatives (also called indefinite integral), say F, of some function f may be obtained as the integral of f with a variable bound of integration.