Ex 7.2, 26 - Chapter 7 Class 12 Integrals
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Ex 7.2, 26 Integrate the function cosโกโ๐ฅ/โ๐ฅ Let โ๐ฅ=๐ก Differentiating both sides ๐ค.๐.๐ก.๐ฅ (1/2) ๐ฅ^(1/2 โ 1)= ๐๐ก/๐๐ฅ 1/2. ๐ฅ^(โ 1/2)= ๐๐ก/๐๐ฅ 1/(2โ๐ฅ) = ๐๐ก/๐๐ฅ ๐๐ฅ =2โ๐ฅ . ๐๐ก ๐๐ฅ =2๐ก . ๐๐ก Integrating the function โซ1โใ" " cosโกโ๐ฅ/โ๐ฅ " " ใ. ๐๐ฅ Putting โ๐ฅ=๐ก & ๐๐ฅ=2๐ก . ๐๐ก = โซ1โใ" " cosโก๐ก/๐กใ. 2๐ก . ๐๐ก = โซ1โใ" " 2 cosโก๐ก ใ. ๐๐ก = 2โซ1โcosโก๐ก . ๐๐ก = 2 sinโก๐ก+๐ถ = ๐ ๐๐๐โกโ๐+๐ช (๐๐ ๐๐๐ ๐ก=โ๐ฅ)
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo