Check sibling questions
Chapter 7 Class 12 Integrals
Concept wise

Example 27 (iii) - Example 27
Evaluate the following integrals:
(iii) ﷐1﷮2﷮﷐𝑥 𝑑𝑥﷮﷐𝑥 + 1﷯ ﷐𝑥 + 2﷯﷯﷯ 𝑑𝑥  
Step  - Definate Integration - By Partial Fraction

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


Transcript

Example 27 Evaluate the following integrals: (iii) 1 2 + 1 + 2 Step 1 :- = + 1 + 2 We can write the integrate as : + 1 + 2 = A + 1 + B + 2 + 1 + 2 = A + 2 + B + 1 + 1 + 2 By canceling denominators =A +2 +B +1 Therefore + 1 + 2 = 1 + 1 + 2 + 2 Integrating w.r.t. +1 +2 = 1 +1 + 2 +2 = +1 +2 +2 = +1 + +2 2 = +2 2 +1 = + 2 2 + 1 Hence = + 2 2 + 1 Step 2 :- 1 2 + 1 + 2 = 2 1 1 2 + 1 + 2 = 2 + 2 2 2 + 1 1 + 2 2 1 + 1 = 4 2 3 3 2 2 = 4 2 3 3 2 2 = 4 2 3 2 3 2 = 16 3 2 9 = 32 27 =

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.