1. Chapter 7 Class 12 Integrals
  2. Serial order wise
  3. Ex 7.6
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Ex 7.6, 5 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by Teachoo

Transcript

Ex 7.6, 5 ๐‘ฅ logโก2๐‘ฅ Integrating the function ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ โˆซ1โ–’ใ€–๐‘ฅ logโก2๐‘ฅ ใ€— ๐‘‘๐‘ฅ Hence, we take First function :- ๐‘“(๐‘ฅ)=logโก(2๐‘ฅ) Second function :- g(๐‘ฅ)=๐‘ฅ โˆซ1โ–’ใ€–๐‘ฅ logโก๐‘ฅ ใ€— ๐‘‘๐‘ฅ=โˆซ1โ–’(logโก๐‘ฅ )๐‘ฅ ๐‘‘๐‘ฅ =logโก(2๐‘ฅ) โˆซ1โ–’๐‘ฅ ๐‘‘๐‘ฅโˆ’โˆซ1โ–’(๐‘‘(logโก2๐‘ฅ )/๐‘‘๐‘ฅ โˆซ1โ–’ใ€–๐‘ฅ.๐‘‘๐‘ฅใ€—)๐‘‘๐‘ฅ =logโก(2๐‘ฅ) (๐‘ฅ^2/2)โˆ’โˆซ1โ–’ใ€–1/2๐‘ฅ . 2 .๐‘ฅ^2/2. ๐‘‘๐‘ฅใ€— =ใ€–๐‘ฅ^2/2 logใ€—โก(2๐‘ฅ)โˆ’โˆซ1โ–’ใ€–๐‘ฅ/2. ๐‘‘๐‘ฅใ€— =ใ€–๐‘ฅ^2/2 logใ€—โก(2๐‘ฅ)โˆ’1/2 โˆซ1โ–’ใ€–๐‘ฅ ๐‘‘๐‘ฅใ€— =ใ€–๐‘ฅ^2/2 logใ€—โก(๐‘ฅ)โˆ’ 1/2 (๐‘ฅ^2/2)+๐ถ =ใ€–๐‘ฅ^2/2 logใ€—โก(2๐‘ฅ)โˆ’ ๐‘ฅ^2/4 +๐ถ
  1. Chapter 7 Class 12 Integrals
  2. Serial order wise

    3. Ex 7.6

    Ex 7.7 →
Ex 7.7 →
Chapter 7 Class 12 Integrals
Serial order wise

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Davneet Singh

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