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If l^ ( r) (x) means log log log ….x (lo...

If `l^ ( r) (x)` means log log log ….x (log being repeated r times ) , then `int [x l (x)l^(2)(x)l^(3)(x)…..l^( r) (x)]^(-1)dx` equals :

A

`l^( r) (x)+c`

B

`l^ (r+1) (x)+c`

C

`(l^(r+1)(x))/(r+1)+c`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
B
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