Question 1 - NCERT Exemplar MCQ - Chapter 7 Class 12 Integrals

Last updated at Dec. 14, 2024 by Teachoo

∫e^x (cos⁡x - sin⁡x) dx is equal to

(A) e^x cos⁡x + C

(B) e^x sin⁡x + C

(C) -e^x cos⁡x + C

(D) -e^x sin⁡x + C

This question is similar to Ex 7.6, 16 - Chapter 7 Class 12 - Integrals

Transcript

Question 1 ∫1▒𝑒^𝑥 (cos⁡𝑥 −sin⁡𝑥 ) 𝑑𝑥 is equal to 𝑒^𝑥 cos⁡𝑥+𝐶 (B) 𝑒^𝑥 sin⁡𝑥+𝐶 (C) 〖−𝑒〗^𝑥 cos⁡𝑥+𝐶 (D)〖−𝑒〗^𝑥 sin⁡𝑥+𝐶 ∫1▒〖𝑒^𝑥 (cos⁡𝑥−sin⁡𝑥)〗 𝑑𝑥 Putting 𝒇(𝒙)=𝒄𝒐𝒔 𝒙" " ∴ 𝒇^′ (𝒙)=〖−𝑠𝑖𝑛〗⁡𝑥 Thus, ∫1▒〖𝑒^𝑥 (cos⁡𝑥−sin⁡𝑥)〗 𝑑𝑥=𝒆^𝒙 𝒄𝒐𝒔 𝒙+𝑪 So, the correct answer is (a)

NCERT Exemplar MCQ

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Chapter 7 Class 12 Integrals

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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

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