Integration Full Chapter Explained - https://you.tube/Integration-Class-12

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise

Transcript

Misc 8 Integrate the function (๐‘’^(5 logโก๐‘ฅ ) โˆ’ ๐‘’^(4 logโก๐‘ฅ ))/(๐‘’^(3 logโก๐‘ฅ ) โˆ’ ๐‘’^(2 logโก๐‘ฅ ) ) โˆซ1โ–’(๐‘’^(5 logโก๐‘ฅ ) โˆ’ ๐‘’^(4 logโก๐‘ฅ ))/(๐‘’^(3 logโก๐‘ฅ ) โˆ’ ๐‘’^(2 logโก๐‘ฅ ) ) ๐‘‘๐‘ฅ = โˆซ1โ–’((ใ€–๐‘’ ใ€—^logโกใ€–๐‘ฅ^5 ใ€— โˆ’ ๐‘’^( logโกใ€–๐‘ฅ^4 ใ€— ))/(๐‘’^( logโกใ€–๐‘ฅ^3 ใ€— ) โˆ’ ๐‘’^( logโกใ€–๐‘ฅ^2 ใ€— ) )) ๐‘‘๐‘ฅ = โˆซ1โ–’(๐‘ฅ^5 โˆ’ ๐‘ฅ^4)/(๐‘ฅ^3 โˆ’ ๐‘ฅ^2 ) ๐‘‘๐‘ฅ = โˆซ1โ–’(๐‘ฅ^4 (๐‘ฅ โˆ’ 1))/(๐‘ฅ^2 (๐‘ฅ โˆ’ 1) ) ๐‘‘๐‘ฅ = โˆซ1โ–’๐‘ฅ^2 ๐‘‘๐‘ฅ =๐’™^๐Ÿ‘/๐Ÿ‘ +๐‘ช (Using ๐‘Ž logโก ๐‘ = logโก๐‘^๐‘Ž) (Using ๐‘’^(log ๐‘Ž)=๐‘Ž) =๐’™^๐Ÿ‘/๐Ÿ‘ +๐‘ช

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.