Integration Full Chapter Explained - Integration Class 12 - Everything you need

Last updated at May 29, 2018 by Teachoo
Transcript
Ex 7.6, 5 ๐ฅ logโก2๐ฅ Integrating the function ๐ค.๐.๐ก.๐ฅ โซ1โใ๐ฅ logโก2๐ฅ ใ ๐๐ฅ Hence, we take First function :- ๐(๐ฅ)=logโก(2๐ฅ) Second function :- g(๐ฅ)=๐ฅ โซ1โใ๐ฅ logโก๐ฅ ใ ๐๐ฅ=โซ1โ(logโก๐ฅ )๐ฅ ๐๐ฅ =logโก(2๐ฅ) โซ1โ๐ฅ ๐๐ฅโโซ1โ(๐(logโก2๐ฅ )/๐๐ฅ โซ1โใ๐ฅ.๐๐ฅใ)๐๐ฅ =logโก(2๐ฅ) (๐ฅ^2/2)โโซ1โใ1/2๐ฅ . 2 .๐ฅ^2/2. ๐๐ฅใ =ใ๐ฅ^2/2 logใโก(2๐ฅ)โโซ1โใ๐ฅ/2. ๐๐ฅใ =ใ๐ฅ^2/2 logใโก(2๐ฅ)โ1/2 โซ1โใ๐ฅ ๐๐ฅใ =ใ๐ฅ^2/2 logใโก(๐ฅ)โ 1/2 (๐ฅ^2/2)+๐ถ =ใ๐ฅ^2/2 logใโก(2๐ฅ)โ ๐ฅ^2/4 +๐ถ
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