Ex 7.2, 2 - Chapter 7 Class 12 Integrals
Last updated at April 16, 2024 by Teachoo
Integration by substitution - x^n
Last updated at April 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