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Video tutorials - PUC Mathematics: Calculus - Integrals (Central Board of Secondary Education (CBSE))

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shaalaa.com | Integrals part 1 (Introduction)

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Integrals part 1 (Introduction) [00:12:37]
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Series 1: playing of 45

Integrals
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Integrals part 1 (Introduction)
00:12:37
Integrals part 2 (Introduction continued)
00:10:21
Integrals part 3 (Integration as process of differentiation)
00:04:16
Integrals part 4 (Geometrical interpretion indefinite integrals)
00:03:30
Integrals part 5 (Properties of indefinite integrals)
00:09:34
Integrals part 6 (Comparision of differentiation and Integration)
00:06:17
Integrals part 7 (Indefinite integrals by inspection)
00:12:02
Integrals part 8 (Example:- Indefinite integrals by inspection)
00:10:25
Integrals part 9 (Integration by substitution)
00:13:35
Integrals part 10 (Example:- Integration by substitution)
00:10:00
Integrals part 11 (Example:- Integration by Substitution)
00:11:54
Integrals part 12 (Integration by substitution:- Formula)
00:13:43
Integrals part 13 (Integration by substitution)
00:08:55
Integrals part 14 (Integration by substitution)
00:12:08
Integrals part 15 (Integration by substitution)
00:11:22
Integrals part 16 (Integration by substitution)
00:11:10
Integrals part 17 (Integration by trigonometric identities)
00:11:55
Integrals part 18 (Example Integration trigonometric Identities)
00:14:28
Integrals part 19 (Example Integration trigonometric Identities)
00:12:09
Integrals part 20 (Integrals of some particular functions)
00:10:53
Integrals part 21 (Proof:- Integrals of some particular functions)
00:09:39
Integrals part 22 (Proof:- Integrals of some particular functions)
00:10:34
Integrals part 23 (Integration of special types)
00:12:55
Integrals part 24 (Example Integrals some particular functions)
00:13:05
Integrals part 25 (Example Integrals some particular functions)
00:09:10
Integrals part 26 (Integration by partial fractions)
00:13:55
Integrals part 27 (Example:- Integration by partial fractions)
00:10:43
Integrals part 28 (Example:- Integration by partial fractions)
00:07:56
Integrals part 29 (Example:- Integration by partial fractions)
00:09:41
Integrals part 30 (Integration by parts)
00:13:59
Integrals part 31 (Example:- Integration by parts)
00:12:52
Integrals part 32 (Example:- Integration by parts)
00:12:29
Integrals part 33 (Example:- Integration by parts)
00:10:13
Integrals part 34 (Proof:- Integration by parts:- Special types)
00:11:24
Integrals part 35 (Definite integrals as limit of sum)
00:10:06
Integrals part 36 (Example:- Definite integrals as limit of sum)
00:14:13
Integrals part 37 (Example:- Definite integrals as limit of sum)
00:07:12
Integrals part 38 (Fundamental theorem of integral calculus)
00:10:39
Integrals part 39 (Integral as area function)
00:08:34
Integrals part 40 (Definite integral by substitution)
00:12:20
Integrals part 41 (Example:- Definite integral by substitution)
00:05:52
Integrals part 42 (Properties of Definite integrals)
00:08:31
Integrals part 43 (Proof:- Properties of definite integrals)
00:12:53
Integrals part 44 (Solve using properties of definite integrals)
00:11:25
Integrals part 45 (Solve using properties of definite integrals)
00:08:43

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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.
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