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Ex 7.8
Last updated at April 16, 2024 by Teachoo
Ex 7.8, 9 โซ_0^1โ๐๐ฅ/โ(1โ๐ฅ2) Step 1 :- Let F(๐ฅ)=โซ1โ๐๐ฅ/โ(1 โ ๐ฅ^2 ) =โซ1โ๐๐ฅ/โ(1^2 โ ๐ฅ^2 ) =sin^(โ1)โกใ๐ฅ/1ใ =๐ ๐๐^(โ1) ๐ฅ Hence F(๐ฅ)=๐ ๐๐^(โ1) ๐ฅ Step 2 :- โซ_0^1โใ๐๐ฅ/โ(1 โ ๐ฅ^2 )=๐น(1)โ๐น(0) ใ =๐ ๐๐^(โ1) (1)โ๐ ๐๐^(โ1) (0) =๐/2โ0 =๐/2