3.2.2. Replace integration variable

Lecture



The indefinite integral can be simplified by replacing the integration variable x with a new variable t . If a 3.2.2. Replace integration variable - continuous functions of t and the integrand depends only on t and dt :

3.2.2. Replace integration variable

Comments

To leave a comment

If you have any suggestion, idea, thanks or comment, feel free to write. We really value feedback and are glad to hear your opinion.
To reply

Lectures and tutorial on "Mathematical analysis. Integral calculus"

Terms: Mathematical analysis. Integral calculus

3.1.1. Definition of indefinite integral
3.1.2. Integral table. Definition and formulas
3.1.3. Integration task
3.2. The main methods of integration 3.2.1. Integration in parts
3.2.2. Replace integration variable
3.3. The definite integral and its applications 3.3.1. The concept of a definite integral
3.3.2. The geometric meaning of a definite integral
3.3.3. Newton-Leibniz formula
3.3.4. Area Calculation in Rectangular Coordinates
3.3.5. Calculating the arc length of a curve in rectangular coordinates
3.3.6. Calculation of the arc length of a curve defined in parametric form
3.3.7. Body volume of rotation
3.3.8. Improper integral
3.4. Multiple integrals and their applications 3.4.1. The concept of double integral
3.4.2. The geometric meaning of the double integral
3.4.3. Calculation of the double integral
3.4.4. Change the order of integration
3.4.5. Calculation of areas of flat figures
3.4.6. Double integral in polar coordinates
3.4.7. Calculation of the areas of flat figures in polar coordinates
3.4.8. Calculation of volumes using double integral
Examples of solving problems to the section integral calculus
Integrals. History reference. The use of integrals in practice