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Ex 7.8
Ex 7.8, 2
Ex 7.8, 3
Ex 7.8, 4 Important
Ex 7.8, 5
Ex 7.8, 6
Ex 7.8, 7
Ex 7.8, 8 Important
Ex 7.8, 9 You are here
Ex 7.8, 10
Ex 7.8, 11 Important
Ex 7.8, 12
Ex 7.8, 13
Ex 7.8, 14 Important
Ex 7.8, 15
Ex 7.8, 16 Important
Ex 7.8, 17 Important
Ex 7.8, 18
Ex 7.8, 19 Important
Ex 7.8, 20 Important
Ex 7.8, 21 (MCQ) Important
Ex 7.8, 22 (MCQ)
Last updated at June 13, 2023 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