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

Last updated at Dec. 20, 2019 by Teachoo
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Ex 7.6, 20 Integrate the function (๐ฅ โ 3)๐๐ฅ/(๐ฅ โ 1)3 โซ1โใ((๐ฅ โ 3))/(๐ฅ โ1)3 .๐๐ฅ" " ๐๐ฅใ = โซ1โใ(๐ฅ โ 1 โ 2)/(๐ฅ โ1)^3 .๐๐ฅ" " ๐๐ฅใ = โซ1โใ๐๐ฅ ((๐ฅ โ 1)/(๐ฅ โ1)^3 โ 2/(๐ฅ โ1)^3 )๐๐ฅใ = โซ1โใ๐๐ฅ (1/(๐ฅ โ1)^2 โ 2/(๐ฅ โ1)^3 )๐๐ฅใ It is of the form โซ1โใ๐^๐ฅ [๐(๐ฅ)+๐^โฒ (๐ฅ)] ใ ๐๐ฅ=๐^๐ฅ ๐(๐ฅ)+๐ถ Where ๐(๐ฅ)=" " 1/(๐ฅ โ1)^2 โด ๐^โฒ (๐ฅ)= (โ 2)/(๐ฅ โ 1)^3 So, our equation becomes โซ1โใ๐๐ฅ (1/(๐ฅ โ 1)^2 โ 2/(๐ฅ โ 1)^3 )๐๐ฅใ = ๐๐/(๐ โ ๐)๐ +๐ช
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