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


Last updated at May 29, 2018 by Teachoo
Transcript
Ex 7.4, 5 3๐ฅ/(1 + 2๐ฅ4) Let ๐ฅ^2=๐ก Differentiating both sides 2๐ฅ=๐๐ก/๐๐ฅ ๐๐ฅ=๐๐ก/2๐ฅ Integrating the function ๐ค.๐.๐ก.๐ฅ โซ1โ(3๐ฅ )/(1 + 2๐ฅ^4 ) ๐๐ฅ =โซ1โ3๐ฅ/(1 + 2(๐ฅ^2 )^2 ) ๐๐ฅ Putting value of ๐ฅ^2=๐ก and ๐๐ฅ=๐๐ก/2๐ฅ =โซ1โ3๐ฅ/(1 + 2๐ก^2 ) ๐๐ฅ =โซ1โ3๐ฅ/(1 + 2๐ก^2 )ร๐๐ก/2๐ฅ =3/2 โซ1โ๐๐ก/(1 + 2๐ก^2 ) =3/2 โซ1โ๐๐ก/2(1/2 + ๐ก^2 ) =3/(2 . 2) โซ1โ๐๐ก/(1/2 + ๐ก^2 ) =3/4 โซ1โ๐๐ก/(๐ก^2 + 1/2). ๐๐ก =3/4 โซ1โ๐๐ก/(๐ก^2 +(1/โ2)^2 ). ๐๐ก
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