Chapter 7 Class 12 Integrals
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Ex 7.2, 26 - Integrate cos root(x) / root x - Teachoo - Ex 7.2

Ex 7.2, 26 - Chapter 7 Class 12 Integrals - Part 2

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Transcript

Ex 7.2, 26 Integrate the function cosโกโˆš๐‘ฅ/โˆš๐‘ฅ Let โˆš๐‘ฅ=๐‘ก Differentiating both sides ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ (1/2) ๐‘ฅ^(1/2 โˆ’ 1)= ๐‘‘๐‘ก/๐‘‘๐‘ฅ 1/2. ๐‘ฅ^(โˆ’ 1/2)= ๐‘‘๐‘ก/๐‘‘๐‘ฅ 1/(2โˆš๐‘ฅ) = ๐‘‘๐‘ก/๐‘‘๐‘ฅ ๐‘‘๐‘ฅ =2โˆš๐‘ฅ . ๐‘‘๐‘ก ๐‘‘๐‘ฅ =2๐‘ก . ๐‘‘๐‘ก Integrating the function โˆซ1โ–’ใ€–" " cosโกโˆš๐‘ฅ/โˆš๐‘ฅ " " ใ€—. ๐‘‘๐‘ฅ Putting โˆš๐‘ฅ=๐‘ก & ๐‘‘๐‘ฅ=2๐‘ก . ๐‘‘๐‘ก = โˆซ1โ–’ใ€–" " cosโก๐‘ก/๐‘กใ€—. 2๐‘ก . ๐‘‘๐‘ก = โˆซ1โ–’ใ€–" " 2 cosโก๐‘ก ใ€—. ๐‘‘๐‘ก = 2โˆซ1โ–’cosโก๐‘ก . ๐‘‘๐‘ก = 2 sinโก๐‘ก+๐ถ = ๐Ÿ ๐’”๐’Š๐’โกโˆš๐’™+๐‘ช (๐‘ˆ๐‘ ๐‘–๐‘›๐‘” ๐‘ก=โˆš๐‘ฅ)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.