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Ex 7.9, 11 - Direct Integrate dx /x2 - 1  from 2 to 3 - Definate Integration - By Partial Fraction

Ex 7.9, 11 - Chapter 7 Class 12 Integrals - Part 2
Ex 7.9, 11 - Chapter 7 Class 12 Integrals - Part 3
Ex 7.9, 11 - Chapter 7 Class 12 Integrals - Part 4

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Transcript

Ex7.9, 11 2 3 2 1 Step 1 :- Let F = 2 1 We can write integrate as 1 2 1 = 1 1 + 1 1 1 + 1 = A 1 + B + 1 1 1 + 1 = A + 1 + B 1 1 + 1 By Canceling denominator 1=A +1 +B 1 Putting = 1 1=A 1+1 +B 1 1 1 =A 0+=B 2 1= 2B B= 1 2 Similarly putting =1 1=A 1+1 +B 1 1 1 =A 2 +B 0 1=2A A= 1 2 Therefore, 1 1 +1 = 1 2 1 + 1 2 1 + 1 = 1 2 1 1 +1 = 1 2 1 +1 = 1 2 1 + 1 Hence F = 1 2 1 + 1 Step 2 :- 2 3 1 1 2 = 3 2 = 1 2 3 1 3+1 1 2 2 1 2+1 = 1 2 2 4 1 2 1 3 = 1 2 1 2 1 3 =

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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.