Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let f(x) is differentiable function satisfying 
= x + 2 , ∀ x ∈ R Then 
– f(x) – 21x) dx equals to
Text Solution
Verified by ExpertsThe correct answer is:
C
= x + 2 ⇒ 
= x 2 + 2x
differentiate
⇒ 2[2f(2x) – f(x)] = 2x + 2 ⇒ 2f(2x) – f(x) = x + 1 ..........(i)
⇒ 4f(4x) – 2f(2x) = 2 (2x + 1) = 4x + 2 ..........(ii)
⇒ 8f (8x) – 4f(4x) = 2(8x + 2) = 16x + 4 ..........(iii)
Add (i) + (ii) and (iii) we get
⇒ 8f(8x) – f(x) = 21x + 7
⇒ 
= 
= 7
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