Ex 7.2, 2 - Chapter 7 Class 12 Integrals
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
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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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