Chapter 7 Class 12 Integrals
Concept wise

Example 27 (ii) - Chapter 7 Class 12 Integrals

Last updated at April 16, 2024 by

Example 27 (ii) - Evaluate the following integrals root x / 30 -x 3/2 dx - Definate Integration - By Substitution

Example 27 (ii) - Chapter 7 Class 12 Integrals - Part 2
Example 27 (ii) - Chapter 7 Class 12 Integrals - Part 3
Example 27 (ii) - Chapter 7 Class 12 Integrals - Part 4

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Transcript

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) =

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo