A antiderivative is a mathematical function that is obtained from process opposite to bypass. To understand what the notion refers to, therefore, one must first be clear about what a function in the field of mathematics and what is the derivation.
A function It is a relationship that is established between two sets, which assigns each of the elements of the first set an element that is part of the second set or none at all. Is named set, in turn, to the group formed by all mathematical entities that have the same property.
The derivative of a function, on the other hand, is the rate of change with which the value of the function from an alteration of the value of its independent variable. The derivation indicates the rate at which the function changes from the changes in the independent variable.
Let us now return to idea antiderivative. It is called antiderivative of a function f (x) to function F (x) + C, where C is constituted as a constant. Thus, by deriving F (x) + C, we obtain f (x). That's why the function F (x) it is antiderivative of the function f (x).
The process that is carried out to discover the antiderivatives (also known as primitive) is called integration. On the other hand, indefinite integrals make up the family of functions obtained through this process.
It should be noted that when a function f allows an antiderivative on a interval, admits an infinity with a constant difference between them.
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