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

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  1. Chapter 7 Class 12 Integrals
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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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.