Check sibling questions

Ex 7.5, 12 - Integrate x3 + x+ 1 / x2 - 1 - Chapter 7 CBSE - Integration by partial fraction - Type 1

Ex 7.5, 12 - Chapter 7 Class 12 Integrals - Part 2
Ex 7.5, 12 - Chapter 7 Class 12 Integrals - Part 3


Transcript

Ex 7.5, 12 3 + + 1 2 1 3 + + 1 2 1 = + 2 + 1 2 1 = + 2 + 1 1 + 1 Now solving 2 + 1 1 + 1 We can write it as 2 + 1 1 + 1 = 1 + + 1 2 + 1 1 + 1 = + 1 + 1 1 By cancelling denominator 2 +1 = + 1 + 1 Putting x = 1 , in (1) 2+1 = 1+1 + 1 1 3 = 2 + 0 = 3 2 Similarly Putting x= 1 , in (1) 2 1 +1 = 1+1 + 1 1 2+1 = 0+ 2 1 = 2 = 1 2 Hence we can write it as 2 + 1 1 + 1 = 3 2 1 + 1 2 + 1 Therefore 3 + + 1 2 1 = + 3 2 1 + 1 2 + 1 = + 3 2 1 + 1 2 + 1 = + + + +

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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.