Question 11 - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 26, 2025 by Teachoo

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(𝑎+𝑏−𝑥)=𝑓(𝑥), then ∫𝑎^𝑏 𝑥𝑓(𝑥)𝑑𝑥 is equal to - CBSE Class 12 - CBSE Class 12 Sample Paper for 2026 Boards

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Transcript

Question 11 If 𝑓(𝑎+𝑏−𝑥)=𝑓(𝑥), then ∫_𝑎^𝑏 𝑥𝑓(𝑥)𝑑𝑥 is equal to (A) (𝑎+𝑏)/2 ∫_𝑎^𝑏 𝑓(𝑏−𝑥)𝑑𝑥 (B) (𝑎+𝑏)/2 ∫_𝑎^𝑏 𝑓(𝑎−𝑥)𝑑𝑥 (C) (𝑏−𝑎)/2 ∫_𝑎^𝑏 𝑓(𝑥)𝑑𝑥 (D) (𝑎+𝑏)/2 ∫_𝑎^𝑏 𝑓(𝑥)𝑑𝑥This 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 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

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