Ex 7.2, 2 - Class 12
Last updated at May 29, 2018 by Teachoo
Transcript
Ex 7.2, 2 Integrate the function: (logโก๐ฅ )^2/๐ฅ Step 1: Let log ๐ฅ= ๐ก Differentiate ๐ค.๐.๐ก.๐ฅ ๐๐ก/๐๐ฅ= 1/๐ฅ ๐๐ก.๐ฅ=๐๐ฅ ๐๐ฅ=๐๐ก.๐ฅ Step 2: Integrating function โซ1โ(logโก๐ฅ )^2/๐ฅ ๐๐ฅ Putting (๐๐๐โก๐ฅ )^2=๐ก=๐ฅ ๐๐ก = โซ1โ๐ก^2/๐ฅ ๐๐ก.๐ฅ = โซ1โใ๐ก^2 ๐๐กใ = ๐ก^(2+1)/(2+1)+๐ถ = ๐ก^3/3+๐ถ Putting ๐ก=logโก|๐ฅ| =๐/๐ (๐๐๐โก|๐| )^๐+๐ช
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About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.
