Check sibling questions

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

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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

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.