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If l^(r )(x) means log log log … x, the ...

If `l^(r )(x)` means log log log … x, the log being repeated r times, then `int[xl(x)l^(2)(x)l^(3)(x) ... l^(r)(x)]^(-1) dx` is equal to

A

`1^(r+1)(x)+C`

B

`(1^(r+1)(x))/(r+1)+C`

C

`1^(r)(x)+C`

D

None of these

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The correct Answer is:
A
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