Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 33 of Miscellaneous Exercise

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33

Evaluate the definite integral:

Given:




First solve for I1:



As we can see that (x-1)≥0 when 1≤x≤4








Now solve for I2:



As we can see that (x-2)≤0 when 1≤x≤2 and (x-2)≥0 when 2≤x≤4









Now solve for I3:



As we can see that (x-3)≤0 when 1≤x≤3 and (x-3)≥0 when 3≤x≤4












33

Chapter Exercises

Exercise 7.2
Exercise 7.4
Exercise 7.5
Exercise 7.3
Exercise 7.1
Exercise 7.6
Exercise 7.8
Exercise 7.9
Exercise 7.10
Exercise 7.11
Exercise 7.7
Miscellaneous Exercise

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1

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2

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3

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4

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5

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16

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17

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18

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19

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20

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21

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22

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23

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24

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25

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26

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27

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28

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29

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30

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31

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32

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33

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34

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35

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40

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41

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is equal to
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The value of