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Double integrals. Lecture 8

1.

Lecture 8

2.

- Double integrals, their
properties, and evaluations
- Area
- Double integral in Polar form
- Substitutions in double integrals

3.

Double Integrals

4.

5.

6.

Volume

7.

8.

9.

10.

11.

12.

Properties of double integrals

13.

14.

15.

Example

16.

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19.

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Example

21.

22.

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27.

Double integral in polar form

28.

29.

Example

30.

31.

32.

33.

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Change of variable

35.

Example

36.

37.

38.

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Application of double integrals

43.

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Example

45.

46.

Example 2

47.

48.

49.

Problems

50.

51.

Example

52.

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54.

55.

Thanks for your attention!
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