Chapter 7 Class 12 Integrals
Ex 7.1, 18 Important
Ex 7.1, 20
Ex 7.2, 20 Important
Ex 7.2, 26 Important
Ex 7.2, 35
Ex 7.2, 36 Important
Ex 7.3, 6 Important
Ex 7.3, 13 Important
Ex 7.3, 18 Important
Ex 7.3, 22 Important
Ex 7.3, 24 (MCQ) Important
Example 9 (i) You are here
Example 10 (i)
Ex 7.4, 8 Important
Ex 7.4, 15 Important
Ex 7.4, 21 Important
Ex 7.4, 22
Ex 7.4, 25 (MCQ) Important
Example 15 Important
Ex 7.5, 9 Important
Ex 7.5, 11 Important
Ex 7.5, 17
Ex 7.5, 18 Important
Ex 7.5, 21 Important
Example 20 Important
Example 22 Important
Ex 7.6, 13 Important
Ex 7.6, 14 Important
Ex 7.6, 18 Important
Ex 7.6, 19
Ex 7.6, 24 (MCQ) Important
Ex 7.7, 5 Important
Ex 7.7, 10
Ex 7.7, 11 Important
Question 1 Important
Question 4 Important
Question 6 Important
Example 25 (i)
Ex 7.8, 15
Ex 7.8, 16 Important
Ex 7.8, 20 Important
Ex 7.8, 22 (MCQ)
Ex 7.9, 4
Ex 7.9, 7 Important
Ex 7.9, 8
Ex 7.9, 9 (MCQ) Important
Example 28 Important
Example 32 Important
Example 34 Important
Ex 7.10,8 Important
Ex 7.10, 18 Important
Example 38 Important
Example 39 Important
Example 42 Important
Misc 18 Important
Misc 8 Important
Question 1 Important
Misc 23 Important
Misc 29 Important
Question 2 Important
Misc 38 (MCQ) Important
Question 4 (MCQ) Important
Integration Formula Sheet Important
Chapter 7 Class 12 Integrals
Last updated at Dec. 16, 2024 by Teachoo
Example 9 Find the following integrals: (i) โซ1โ๐๐ฅ/(๐ฅ^2โ 6๐ฅ + 13) โซ1โ๐๐ฅ/(๐ฅ^2โ 6๐ฅ + 13) =โซ1โ๐๐ฅ/(๐ฅ^2โ 2 ร 3 ร ๐ฅ + 13) = โซ1โ๐๐ฅ/((๐ฅ^2 โ 2 . 3 ๐ฅ + 3^2 ) + 13 โ 3^2 ) = โซ1โ๐๐ฅ/((๐ฅ โ 3)^2 + 13 โ 9) = โซ1โ๐๐ฅ/((๐ฅ โ 3)^2 + 4) = โซ1โ๐๐ฅ/((๐ฅ โ 3)^2 + 2^2 ) ("Adding and subtracting " (3)^2 ) ("Using " ๐^2โ2๐๐+๐^2=(๐โ๐)^2 ) It is of form ๐๐ฅ/(๐ฅ^2 + ๐^2 )=1/๐ ใ๐ก๐๐ใ^(โ1)โกใ๐ฅ/๐ใ+๐ถ Replacing ๐ฅ with (๐ฅโ3) and ๐ with 2 =๐/๐ ใ๐๐๐ใ^(โ๐)โกใ(๐ โ ๐)/๐ใ +๐ช