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Misc 21 - Chapter 7 Class 12 Integrals

Last updated at May 29, 2023 by

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 21 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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.