Definite Integration – By Substitution

Ex 7.8, 15

Example 27

Ex 7.9, 1

Ex 7.8, 13

Ex 7.9, 5 Important

Ex 7.9, 7 Important

Ex 7.9, 6

Example 27 (iv)

Example 27 (ii) You are here

Ex 7.9, 4

Misc 27 Important

Ex 7.9, 9 (MCQ) Important

Misc 25 Important

Misc 26 Important

Misc 29 Important

Misc 30 Important

Definite Integration – By Substitution

Last updated at May 29, 2023 by Teachoo

Example 27 Evaluate the following integrals: (ii) 4 9 30 3 2 2 Step 1 :- 30 3 2 2 Let 30 3 2 = Differentiating w.r.t. both sides 30 3 2 = 3 2 3 2 1 = 3 2 1 2 = = 3 2 1 2 = 2 3 Therefore, our equation becomes 30 3 2 2 = 2 2 3 = 2 3 2 = 2 3 2 = 2 3 2 + 1 2 + 1 = 2 3 1 1 = 2 3 1 = 2 3 Putting = 30 3 2 = 2 3 30 3 2 Hence F = 2 3 30 3 2 Step 2 :- 4 9 30 3 2 = 9 4 = 2 3 30 9 3 2 2 3 30 4 3 2 = 2 3 30 3 2 2 3 2 3 30 2 2 2 3 = 2 3 1 30 3 3 1 30 2 3 = 2 3 1 30 27 1 30 8 = 2 3 1 3 1 22 = 2 3 22 3 3 22 = 2 3 19 66 = 19 3 (33) =