This question is exactly same as Miscellaneous Question 40 – Chapter 7 Class 12 NCERT Book – Intgeration

Please check the answer here

https://www.teachoo.com/4869/728/Misc-43---If-f-%28a---b---x%29--f%28x%29--then--x-f%28x%29-dx-is/category/Miscellaneous/

 

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Transcript

Question 11 If 𝑓(π‘Ž+π‘βˆ’π‘₯)=𝑓(π‘₯), then ∫_π‘Ž^π‘β€Šπ‘₯𝑓(π‘₯)𝑑π‘₯ is equal to (A) (π‘Ž+𝑏)/2 ∫_π‘Ž^π‘β€Šπ‘“(π‘βˆ’π‘₯)𝑑π‘₯ (B) (π‘Ž+𝑏)/2 ∫_π‘Ž^π‘β€Šπ‘“(π‘Žβˆ’π‘₯)𝑑π‘₯ (C) (π‘βˆ’π‘Ž)/2 ∫_π‘Ž^π‘β€Šπ‘“(π‘₯)𝑑π‘₯ (D) (π‘Ž+𝑏)/2 ∫_π‘Ž^π‘β€Šπ‘“(π‘₯)𝑑π‘₯This question is exactly same as Miscellaneous Question 40 – Chapter 7 Class 12 NCERT Book – Intgeration Please check the answer here https://www.teachoo.com/4869/728/Misc-43---If-f-%28a---b---x%29--f%28x%29--then--x-f%28x%29-dx-is/category/Miscellaneous/ So, the correct answer is (D)

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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 15 years. He provides courses for Maths, Science and Computer Science at Teachoo