Mathematical analysis. Integral calculus

All lectures: All lectures at the Academy of Intelligence on the discipline: mathematical analysis. integral calculus. These fascinating lectures provide us with the opportunity to explore the deep principles and phenomena underlying our knowledge and our desire to understand the world.
1. 3.1.1. Definition of indefinite integral
2. 3.1.2. Integral table. Definition and formulas
3. 3.1.3. Integration task
4. 3.2. The main methods of integration 3.2.1. Integration in parts
5. 3.2.2. Replace integration variable
6. 3.3. The definite integral and its applications 3.3.1. The concept of a definite integral
7. 3.3.2. The geometric meaning of a definite integral
8. 3.3.3. Newton-Leibniz formula
9. 3.3.4. Area Calculation in Rectangular Coordinates
10. 3.3.5. Calculating the arc length of a curve in rectangular coordinates
11. 3.3.6. Calculation of the arc length of a curve defined in parametric form
12. 3.3.7. Body volume of rotation
13. 3.3.8. Improper integral
14. 3.4. Multiple integrals and their applications 3.4.1. The concept of double integral
15. 3.4.2. The geometric meaning of the double integral
16. 3.4.3. Calculation of the double integral
17. 3.4.4. Change the order of integration
18. 3.4.5. Calculation of areas of flat figures
19. 3.4.6. Double integral in polar coordinates
20. 3.4.7. Calculation of the areas of flat figures in polar coordinates
21. 3.4.8. Calculation of volumes using double integral
22. Examples of solving problems to the section integral calculus
23. Integrals. History reference. The use of integrals in practice
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