NCERT Solutions for Class 12-science Maths Chapter 7 - Integrals

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Chapter 7 - Integrals Ex. 7.1

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Chapter 7 - Integrals Ex. 7.2

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

 

 

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

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Chapter 7 - Integrals Ex. 7.3

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Chapter 7 - Integrals 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

 

Chapter 7 - Integrals Ex. 7.5

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Chapter 7 - Integrals Ex. 7.6

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Chapter 7 - Integrals Ex. 7.7

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Chapter 7 - Integrals Ex. 7.8

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Chapter 7 - Integrals Ex. 7.9

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Chapter 7 - Integrals Ex. 7.10

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Chapter 7 - Integrals Ex. 7.11

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Chapter 7 - Integrals Misc. Ex.

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