Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If l r means log log log ….. x the log being r times then 
[x l (x) (x) l 3 l 4 (x)…. l r (x)] –1 dx =
A
l r + 1 (x)
B
C
l r (x)
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
I 1 = 
dx
Put log x = t ∴ 
= dt
∴ I 1 = 
dt ⇒ log t = log (log x) = l 2 x
I 2 = 
dx
Put log (log x) = l 2 x = t
∴ 
. 
dx = dt
∴ I 2 = 
dt = log t = log log (log x) = l 3 x
∴ I r = l r + 1 (x) ⇒ .
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