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Class 12-science NCERT Solutions Maths Chapter 7 - Integrals

Integrals Exercise Ex. 7.1

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Integrals Exercise Ex. 7.2

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Solution 32

Let sin x + cos x = t then (cos x - sin x) dx = dt

 

 

Solution 33

Put cos x - sin x = t then (- sin x - cos x)dx = dt

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Integrals Exercise Ex. 7.3

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Integrals Exercise Ex. 7.4

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begin mathsize 12px style straight I subscript 2 equals integral fraction numerator 1 over denominator open parentheses straight x plus 2 close parentheses squared plus open parentheses square root of 6 close parentheses squared end fraction dx space space space space space equals log open vertical bar straight x plus 2 plus square root of straight x squared plus 4 straight x plus 10 end root close vertical bar space space... left parenthesis 3 right parenthesis end style
 
 
 

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begin mathsize 12px style straight I equals integral fraction numerator 1 over denominator square root of negative 4 open parentheses straight x squared minus begin display style fraction numerator 9 straight x over denominator 4 end fraction end style plus begin display style 81 over 64 end style minus begin display style 81 over 64 end style close parentheses end root end fraction dx end style

 

Integrals Exercise Ex. 7.5

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Integrals Exercise Ex. 7.6

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Integrals Exercise Ex. 7.7

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Integrals Exercise Ex. 7.8

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Solution 6

Integrals Exercise Ex. 7.9

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Integrals Exercise Ex. 7.10

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Solution 10

Integrals Exercise Ex. 7.11

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Integrals Exercise Misc. Ex.

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