Institute: Central Board of Secondary Education (CBSE)

Course:

Subject: Mathematics

Topic: Calculus - Integrals

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### Video Series

#### shaalaa.com | Integrals part 1 (Introduction)

#### Series 1: playing of 45

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Integrals

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Integrals part 1 (Introduction)

00:12:37

00:12:37

Integrals part 2 (Introduction continued)

00:10:21

00:10:21

Integrals part 3 (Integration as process of differentiation)

00:04:16

00:04:16

Integrals part 4 (Geometrical interpretion indefinite integrals)

00:03:30

00:03:30

Integrals part 5 (Properties of indefinite integrals)

00:09:34

00:09:34

Integrals part 6 (Comparision of differentiation and Integration)

00:06:17

00:06:17

Integrals part 7 (Indefinite integrals by inspection)

00:12:02

00:12:02

Integrals part 8 (Example:- Indefinite integrals by inspection)

00:10:25

00:10:25

Integrals part 9 (Integration by substitution)

00:13:35

00:13:35

Integrals part 10 (Example:- Integration by substitution)

00:10:00

00:10:00

Integrals part 11 (Example:- Integration by Substitution)

00:11:54

00:11:54

Integrals part 12 (Integration by substitution:- Formula)

00:13:43

00:13:43

Integrals part 13 (Integration by substitution)

00:08:55

00:08:55

Integrals part 14 (Integration by substitution)

00:12:08

00:12:08

Integrals part 15 (Integration by substitution)

00:11:22

00:11:22

Integrals part 16 (Integration by substitution)

00:11:10

00:11:10

Integrals part 17 (Integration by trigonometric identities)

00:11:55

00:11:55

Integrals part 18 (Example Integration trigonometric Identities)

00:14:28

00:14:28

Integrals part 19 (Example Integration trigonometric Identities)

00:12:09

00:12:09

Integrals part 20 (Integrals of some particular functions)

00:10:53

00:10:53

Integrals part 21 (Proof:- Integrals of some particular functions)

00:09:39

00:09:39

Integrals part 22 (Proof:- Integrals of some particular functions)

00:10:34

00:10:34

Integrals part 23 (Integration of special types)

00:12:55

00:12:55

Integrals part 24 (Example Integrals some particular functions)

00:13:05

00:13:05

Integrals part 25 (Example Integrals some particular functions)

00:09:10

00:09:10

Integrals part 26 (Integration by partial fractions)

00:13:55

00:13:55

Integrals part 27 (Example:- Integration by partial fractions)

00:10:43

00:10:43

Integrals part 28 (Example:- Integration by partial fractions)

00:07:56

00:07:56

Integrals part 29 (Example:- Integration by partial fractions)

00:09:41

00:09:41

Integrals part 30 (Integration by parts)

00:13:59

00:13:59

Integrals part 31 (Example:- Integration by parts)

00:12:52

00:12:52

Integrals part 32 (Example:- Integration by parts)

00:12:29

00:12:29

Integrals part 33 (Example:- Integration by parts)

00:10:13

00:10:13

Integrals part 34 (Proof:- Integration by parts:- Special types)

00:11:24

00:11:24

Integrals part 35 (Definite integrals as limit of sum)

00:10:06

00:10:06

Integrals part 36 (Example:- Definite integrals as limit of sum)

00:14:13

00:14:13

Integrals part 37 (Example:- Definite integrals as limit of sum)

00:07:12

00:07:12

Integrals part 38 (Fundamental theorem of integral calculus)

00:10:39

00:10:39

Integrals part 39 (Integral as area function)

00:08:34

00:08:34

Integrals part 40 (Definite integral by substitution)

00:12:20

00:12:20

Integrals part 41 (Example:- Definite integral by substitution)

00:05:52

00:05:52

Integrals part 42 (Properties of Definite integrals)

00:08:31

00:08:31

Integrals part 43 (Proof:- Properties of definite integrals)

00:12:53

00:12:53

Integrals part 44 (Solve using properties of definite integrals)

00:11:25

00:11:25

Integrals part 45 (Solve using properties of definite integrals)

00:08:43

00:08:43

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(if you have any topic related video then share link with us)### Description

- Integration as inverse process of differentiation.
- Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.
- Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof).
- Basic properties of definite integrals and evaluation of definite integrals.