Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let f(x) = 
for n ≥ 2 and g(x) = 
(x). Then 
dx equals
A
+ K
B
+ K
C
+ K
D
+ K
Text Solution
Verified by ExpertsThe correct answer is:
A
f(f(x)) = 
= 
Also, f(f(f(x))) = 
= 
⇒ g(x) = 
Hence Ι = 
dx = 
dx Let 1 + n x n = t ⇒ x n–1 dx = 
dt
⇒ Ι = 
= 
= 
(1 + nx n ) 1–1/n + K
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