Check sibling questions

∫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

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Transcript

Question 1 ∫1▒𝑒^π‘₯ (cos⁑π‘₯ βˆ’sin⁑π‘₯ ) 𝑑π‘₯ is equal to 𝑒^π‘₯ cos⁑π‘₯+𝐢 (B) 𝑒^π‘₯ sin⁑π‘₯+𝐢 (C) γ€–βˆ’π‘’γ€—^π‘₯ cos⁑π‘₯+𝐢 (D)γ€–βˆ’π‘’γ€—^π‘₯ sin⁑π‘₯+𝐢 ∫1▒〖𝑒^π‘₯ (cos⁑π‘₯βˆ’sin⁑π‘₯)γ€— 𝑑π‘₯ Putting 𝒇(𝒙)=𝒄𝒐𝒔 𝒙" " ∴ 𝒇^β€² (𝒙)=γ€–βˆ’π‘ π‘–π‘›γ€—β‘π‘₯ Thus, ∫1▒〖𝑒^π‘₯ (cos⁑π‘₯βˆ’sin⁑π‘₯)γ€— 𝑑π‘₯=𝒆^𝒙 𝒄𝒐𝒔 𝒙+π‘ͺ So, the correct answer is (a)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.