Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
dx = 2 (ƒog) (x) + C, then -
A
ƒ(x) = sec x – 1
B
ƒ(x) = 2 tan –1 x
C
ƒ(x) = 
q
q
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
dx = 
dx
= 
dx
(Put sec x = t ⇒ sec x tan x dx = dt)
= 
= 2 
(where y 2 = t – 1)
= 2 tan –1 y + C = 2 tan –1 
+ C
∴ ƒ(x) = tan –1 x and g(x) = 
.
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