Misc 41 - Chapter 7 Class 12 Integrals

Last updated at March 11, 2017 by Teachoo

Misc 41 - Class 12 - Integration - dx/ ex + e-x is equal - Integration by substitution - e^x

Transcript

Misc 41 Choose the correct answer ∫▒dx/(e^x + e^(-x) ) is equal to (A) tan^(-1) (e^x )+C (B) tan^(-1)⁡〖(e^(-x) )+C〗 (C) log⁡(e^x-e^(-x) )+C (D) log⁡(e^x+e^(-x) )+C ∫▒dx/(e^x + e^(-x) ) = ∫▒dx/(e^x + 1/e^x ) = ∫1▒(e^x dx)/(e^2x + 1) Let e^x=t dt/dx=e^x dt = e^x dx Substituting, = ∫1▒dt/(t^2 +1) = 〖tan〗^(-1) (t)+ C Putting value of t = 〖tan〗^(-1) (e^x )+ C Hence, answer is (A).

Miscellaneous

Misc 41 Important You are here

Concept wise →

Chapter 7 Class 12 Integrals

Serial order wise

Ex 7.1
Ex 7.2
Ex 7.3
Ex 7.4
Ex 7.5
Ex 7.6
Ex 7.7
Ex 7.8
Ex 7.9
Ex 7.10
Ex 7.11
Examples
Miscellaneous

About the Author

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.