Definite integral (Babets D.V.)

The definite integral of a function is closely related to the indefinite integral of a function. The primary difference is that the definite integral, if it exists, is a real number value, while the latter one represent an infinite number of functions that differ only by a constant. The relationship between these concepts will be discussed in the section on the Fundamental Theorem of Calculus, and you will see that the definite integral will have applications to many problems in calculus.