Definite Integration - By Partial Fraction

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Chapter 7 Class 12 Integrals
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Example 27 (iii) - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by

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

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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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo