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Chapter 7 Class 12 Integrals
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Example 2 (iii) - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by

Example 2 - Chapter 7 Class 12 Integrals - Part 4

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Transcript

Example 2 Find the following integrals: (iii) โˆซโ–’(๐‘ฅ^(3/2)+2๐‘’^๐‘ฅโˆ’1/๐‘ฅ) ๐‘‘๐‘ฅ โˆซ1โ–’(๐‘ฅ^(3/2)+2๐‘’^๐‘ฅโˆ’1/๐‘ฅ) ๐‘‘๐‘ฅ =โˆซ1โ–’๐‘ฅ^(3/2) ๐‘‘๐‘ฅ+2โˆซ1โ–’๐‘’^๐‘ฅ ๐‘‘๐‘ฅโˆ’โˆซ1โ–’1/๐‘ฅ ๐‘‘๐‘ฅ = ๐‘ฅ^(3/2 + 1)/(3/2 + 1) +2๐‘’^๐‘ฅโˆ’logโกใ€– |๐‘ฅ|ใ€—+๐ถ = ๐‘ฅ^(5/2)/(5/2)+2๐‘’^๐‘ฅโˆ’ใ€–log ใ€—โก|๐‘ฅ|+๐ถ = ใ€–๐Ÿ๐’™ ใ€—^(๐Ÿ“/๐Ÿ)/๐Ÿ“+๐Ÿ๐’†^๐’™โˆ’ใ€–๐’๐’๐’ˆ ใ€—โก|๐’™|+๐‘ช As โˆซ1โ–’๐‘ฅ^๐‘› ๐‘‘๐‘ฅ=๐‘ฅ^(๐‘› + 1)/(๐‘› + 1) +๐ถ โˆซ1โ–’๐‘’^๐‘ฅ ๐‘‘๐‘ฅ=๐‘’^๐‘ฅ +๐ถ โˆซ1โ–’1/๐‘ฅ ๐‘‘๐‘ฅ=logโกใ€– |๐‘ฅ|ใ€— +๐ถ

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo