PROPERTIES OF INDEFINITE INTEGRALS AND METHODS FOR ITS CALCULATION AND, ACCORDINGLY, INTEGRATION OF SOME TRIGONOMETRIC FUNCTIONS

Authors

  • Zaripova Gulbakhor Kamilovna Author
  • Rustamova Feruza, daughter of Bakhtiyar Author

Keywords:

initial function, properties of indefinite integral, table of integrals, methods of calculating indefinite integral, integration of rational fractions, integration of some trigonometric functions.

Abstract

in this scientific article, we focused on the integral section, which is one of the important sections of "Higher Mathematics". Here we will consider the inverse of Differentiation by Integrating. The article shows that the act of differentiation consists in finding the derivative of a function defined in an area E in this area or at a point x0 of the area E. Therefore, Integrating consists of finding a function based on a given derivative, which includes the integral, which is the main concept of differential equations, and the sample examples for each part are solved in a sufficiently simple and understandable way.

Author Biographies

  • Zaripova Gulbakhor Kamilovna

    Bukhara State University Associate Professor, Faculty of Information Technologies, Ph.D.

  • Rustamova Feruza, daughter of Bakhtiyar

    Bukhara State University 2nd level master's student in the specialty “Mathematics”.

Modern education and development

Published

2024-05-23