Integral and integral

Original

Definition: a Function is called the initial function on this interval, if any of this period

Examples

  1. For functions on the interval initial is because
  2. For functions on the interval initial is because

The main property of the integral

If the function is the initial function on this interval and is an arbitrary constant, the function is also the initial function in this case, any primitive of the function on this interval can be written in the form where is an arbitrary became

The geometric meaning

Any graphics primitive of this function can be obtained from each other by parallel transfer along the axis

Первісна / Інтеграл

Indefinite integral

Definition:the Set of all primitives of a given function is called the indefinite integral and is denoted by i.e., where one of the primitive functions and some became

Rules of integration

where became

Table primitives (indefinite integrals)

Chapter:
Versions in other languages: