Ex 7.6, 24 (MCQ) - Chapter 7 Class 12 Integrals (Important Question)

Last updated at Dec. 16, 2024 by Teachoo

Ex 7.6, 24 - Integrate e^x sec x (1 + tan x) dx is (A) e^x cos x

Ex 7.6, 24 - Chapter 7 Class 12 Integrals - Part 2

Next: Ex 7.7, 5 Important → Go Ad-free

Transcript

Ex 7.6, 24 ∫1▒𝑒^𝑥 sec⁡𝑥 (1+tan⁡𝑥 )𝑑𝑥 "ex" cos x + C (B) "ex" sec x + C (C) "ex" sin x + C (D) 𝑒𝑥 tan x + C ∫1▒𝑒^𝑥 sec⁡𝑥 (1+tan⁡𝑥 )𝑑𝑥 = ∫1▒𝑒^𝑥 (sec⁡𝑥+sec⁡𝑥 tan⁡𝑥 )𝑑𝑥 It is of the form ∫1▒〖𝑒^𝑥 [𝑓(𝑥)+𝑓^′ (𝑥)] 〗 𝑑𝑥=𝑒^𝑥 𝑓(𝑥)+𝐶 Where 𝑓(𝑥)=sec⁡𝑥 𝑓^′ (𝑥)=sec⁡𝑥 tan⁡𝑥 So, our equation becomes ∫1▒〖𝑒𝑥 (sec⁡𝑥+sec⁡𝑥 tan⁡𝑥 ) 〗 𝑑𝑥 = 𝑒^𝑥 sec⁡𝑥+𝐶 ∴ Option (B) is correct.

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular