Ex 7.2, 26 - Chapter 7 Class 12 Integrals (Important Question)
Last updated at April 16, 2024 by Teachoo
Chapter 7 Class 12 Integrals
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Ex 7.2, 20 Important
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Chapter 7 Class 12 Integrals
Last updated at April 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)