Chapter 7 Class 12 Integrals
Concept wise

Example 14 - Chapter 7 Class 12 Integrals

Last updated at April 16, 2024 by

Example 14 - Find integral x2 / (x2 + 1) (x2 + 4) dx - Integration by partial fraction - Type 1

Example 14 - Chapter 7 Class 12 Integrals - Part 2
Example 14 - Chapter 7 Class 12 Integrals - Part 3

Transcript

Example 14 Find 2 2 + 1 2 + 4 Solving Integral Putting 2 = 2 2 + 1 2 + 4 = + 1 + 4 We can write this in form + 1 + 4 = + 1 + + 4 + 1 + 4 = + 1 + + 4 + 1 + 4 By cancelling denominator = +4 + +1 = +4 + +1 Hence we can write + 1 + 4 = 1 3 + 1 + 4 3 + 4 Substituting back = 2 2 2 + 1 2 + 4 = 1 3 2 + 1 + 4 3 2 + 4 Therefore, 2 2 + 1 2 + 4 = 1 3 2 + 1 + 4 3 2 + 4 = 1 3 1 3 2 + 1 + 4 3 1 3 2 + 4 = 1 3 1 3 2 + 1 + 4 3 1 3 2 + 4 = 1 3 1 + 4 3 1 2 1 2 + = + +

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.