# Misc 14 - Chapter 7 Class 12 Integrals

Last updated at Dec. 8, 2016 by Teachoo

Last updated at Dec. 8, 2016 by Teachoo

Transcript

Misc 14 Integrate the function 1 2 + 1 2 + 4 Integrate 1 2 + 1 2 + 4 Let 2 = 1 2 + 1 2 + 4 = 1 + 4 + 1 Hence we can write 1 + 4 + 1 = + 4 + + 1 1 + 4 + 1 = + 1 + + 4 + 4 + 1 By canceling denominators 1 = A +1 +B +4 Putting = 1 1= A 1+1 +B 1+4 1= A 0+ B 3 1=3B B = 1 3 Similarly putting = 4 1= A 4+1 + B 4+4 1= A 3 + B 0 1= 3A A = 1 3 Therefore we can write 1 + 4 + 1 = 1 3 + 4 + 1 3 + 1 Putting = 2 1 2 + 4 2 + 1 = 1 3 2 + 4 + 1 3 2 + 1 = 1 3 2 + 4 + 1 3 2 + 1 Integrating w.r.t. 1 2 + 4 2 + 1 = 1 3 2 + 4 + 1 3 2 + 1 = 1 3 2 + 4 + 1 3 2 + 1 = 1 3 1 2 + 2 2 + 1 3 1 2 + 1 2 = 1 3 1 2 tan 1 2 + 1 3 1 1 tan 1 1 + = 1 6 tan 1 2 + 1 3 tan 1 + = +

Miscellaneous

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Misc 8 Important

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Misc 11

Misc 12

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Misc 14 You are here

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Misc 18 Important

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Misc 30 Important

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Integration Formula Sheet - Chapter 7 Class 12 Formulas Important

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.