Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
dx = ƒ(x) 
– 2 log [g(x)] + c, then find the value of ƒ(x) -
A
ƒ(x) = 2x – 4, g(x) = 
B
ƒ(x) = 2x + 4, g(x) = 
C
ƒ(x) = 2x – 1, g(x) = 
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
Let I = 
dx
Let 1 + e x = t 2 ⇒ e x dx = 2t dt ∴ I = 2 
(t 2 – 1) dt
=2 
=2 
= 2x 
– 4 
– 2 log 
+ c
But 
= ƒ(x) 
– 2 log [g(x)] + c
∴ ƒ(x) = 2x – 4
And g(x) = 
.
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