Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Integration by substitution - Trignometric - Normal
Example 5 (i)
Ex 7.2, 22 Important
Misc 15
Example 35
Ex 7.2, 27
Ex 7.2, 31
Ex 7.2, 30
Ex 7.2, 26 Important You are here
Ex 7.2, 24
Example 6 (i)
Ex 7.2, 29 Important
Ex 7.2, 21
Ex 7.2, 34 Important
Ex 7.2, 39 (MCQ) Important
Ex 7.2, 25
Ex 7.2, 32 Important
Ex 7.2, 33 Important
Misc 7 Important
Integration by substitution - Trignometric - Normal
Last updated at May 29, 2023 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)