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Example 2 (iii) - Chapter 7 Class 12 Integrals
Last updated at May 29, 2023 by Teachoo
Examples
Example 1 (i)
Example 1 (ii)
Example 1 (iii)
Example 2 (i)
Example 2 (ii)
Example 2 (iii) Important You are here
Example 3 (i)
Example 3 (ii) Important
Example 3 (iii)
Example 4
Example 5 (i)
Example 5 (ii)
Example 5 (iii) Important
Example 5 (iv) Important
Example 6 (i)
Example 6 (ii) Important
Example 6 (iii) Important
Example 7 (i)
Example 7 (ii) Important
Example 7 (iii)
Example 8 (i)
Example 8 (ii) Important
Example 9 (i)
Example 9 (ii) Important
Example 9 (iii) Important
Example 10 (i)
Example 10 (ii) Important
Example 11
Example 12
Example 13 Important
Example 14
Example 15 Important
Example 16 Important
Example 17
Example 18 Important
Example 19
Example 20 Important
Example 21 Important
Example 22 Important
Example 23
Example 24
Example 25 (i)
Example 25 (ii) Important
Example 25 (iii)
Example 25 (iv) Important
Example 26
Example 27
Example 28 Important
Example 29
Example 30
Example 31
Example 32 Important
Example 33 Important
Example 34 Important
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Example 36 Important
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Example 40 Important
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Example 42 Important
Question 1 Important Deleted for CBSE Board 2024 Exams
Question 2 Deleted for CBSE Board 2024 Exams
Question 3 (Supplementary NCERT) Important Deleted for CBSE Board 2024 Exams
Chapter 7 Class 12 Integrals
Serial order wise
Transcript
Example 2 Find the following integrals: (iii) โซโ(๐ฅ^(3/2)+2๐^๐ฅโ1/๐ฅ) ๐๐ฅ โซ1โ(๐ฅ^(3/2)+2๐^๐ฅโ1/๐ฅ) ๐๐ฅ =โซ1โ๐ฅ^(3/2) ๐๐ฅ+2โซ1โ๐^๐ฅ ๐๐ฅโโซ1โ1/๐ฅ ๐๐ฅ = ๐ฅ^(3/2 + 1)/(3/2 + 1) +2๐^๐ฅโlogโกใ |๐ฅ|ใ+๐ถ = ๐ฅ^(5/2)/(5/2)+2๐^๐ฅโใlog ใโก|๐ฅ|+๐ถ = ใ๐๐ ใ^(๐/๐)/๐+๐๐^๐โใ๐๐๐ ใโก|๐|+๐ช As โซ1โ๐ฅ^๐ ๐๐ฅ=๐ฅ^(๐ + 1)/(๐ + 1) +๐ถ โซ1โ๐^๐ฅ ๐๐ฅ=๐^๐ฅ +๐ถ โซ1โ1/๐ฅ ๐๐ฅ=logโกใ |๐ฅ|ใ +๐ถ
