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Misc 22 - Integrate x2 + x + 1 / (x + 1)2 (x + 2) - Miscellaneous

Misc 22 - Chapter 7 Class 12 Integrals - Part 2

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Misc 22 Integrate the function 2 + + 1 + 1 2 + 2 2 + + 1 + 1 2 + 2 By partial fraction 2 + + 1 + 1 2 + 2 = A + 2 + B + 1 + C ( + 1) 2 2 + + 1 + 1 2 + 2 = A ( + 1) 2 + B + 1 ( + 2)+ C( + 2) ( + 1) 2 + 2 Cancelling denominators 2 + +1=A ( +1) 2 +B +2 +1 +C( +2) Hence, 2 + + 1 + 1 2 ( + 2) = 3 +2 2 +1 + 1 ( + 1) 2 2 + +1 ( + 1) 2 ( + 2) = 3 + 2 2 + 1 + 1 + 1 2 = 3log +2 2log +1 1 + 1 + = 2log +1 1 + 1 +3log +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.