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The article provides detailed information about the concept of integral and the history of its origin. In addition to the Riemann integral, which is covered in the school program, a number of other integrals (Riemann-Stiltes, Daniell, Alfred Haar, Henstock-Kurzweil, Ito and Stratonovich, Chokvet) are described. The difference between integrals is explained with the help of concrete examples. The concept of definite integral and its application in practical problems are widely covered, counterexamples of some theorems are presented

  • Read count 30
  • Date of publication 01-05-2024
  • Main LanguageIngliz
  • Pages18-23
English

The article provides detailed information about the concept of integral and the history of its origin. In addition to the Riemann integral, which is covered in the school program, a number of other integrals (Riemann-Stiltes, Daniell, Alfred Haar, Henstock-Kurzweil, Ito and Stratonovich, Chokvet) are described. The difference between integrals is explained with the help of concrete examples. The concept of definite integral and its application in practical problems are widely covered, counterexamples of some theorems are presented

Name of reference
1 1.Соминский Сборник задач по вышей алебре, Москва, «Наука» 1972 Д.К. Фаддеев , И.С.2.Abdalimov B. Oliy matematika. –Toshkent: O’qituychi,1994.3.Abdalimov B. va boshqalar. Oliy matematikadan masalalar yechish bo’yicha qo’llanma. –Toshkent: O’qituvchi,1985.4.Abdalimov B.,Salixov Sh. Oliy matematika qisqa kursi. –Toshkent: O’qituychi,1983.5.Zaytsev I. Visshaya matematika. –Moskva: Visshaya shkola, 19916.Slobodskaya V.A. Kratkiy kurs visshey matematiki. –Moskva:Visshaya shkola,1969.
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