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/

 

[MCQ] If 𝑓(π‘Ž+𝑏−π‘₯)=𝑓(π‘₯), then ∫π‘Ž^𝑏 π‘₯𝑓(π‘₯)𝑑π‘₯ is equal to - CBSE Class 12  - CBSE Class 12 Sample Paper for 2026 Boards

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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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