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RD Sharma - Volume 1

19. Indefinite Integrals

Exercise 19.2

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Exercise 19.3

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Exercise 19.4

Exercise 19.5

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Exercise 19.6

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Exercise 19.7

Exercise 19.8

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Exercise 19.9

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Exercise 19.10

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Exercise 19.11

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Exercise 19.12

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Exercise 19.13

Exercise 19.14

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Exercise 19.15

Exercise 19.16

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Exercise 19.17

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Exercise 19.18

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Exercise 19.19

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Exercise 19.20

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Exercise 19.21

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Exercise 19.22

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Exercise 19.23

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Exercise 19.24

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Exercise 19.25

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Exercise 19.26

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Exercise 19.27

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Exercise 19.28

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Exercise 19.29

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Exercise 19.30

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Exercise 19.31

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Exercise 19.32

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Very short answer

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MCQ

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Revision exercise

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Q. 235.0( 2 Votes )

Evaluate the foll

Class 12th RD Sharma - Volume 1 19. Indefinite Integrals

Answer :

x = t²

d(x) = 2t.dt

dx = 2t.dt

Substituting t and dt we get

⇒

⇒

Add and subtract 1 from numerator

⇒

⇒

⇒

⇒ 2(t – ln|1 + t|)

But t = √x

⇒ 2(√x – ln|1 + √x|) + c

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