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If f(n)(x)=log log log ....log x(log is ...

If `f_(n)(x)=log log log ....log x(log` is repeated n times, then `int[(xf_(1)(x)f_(2)(x).....f_(n)f(x)]^(-1)dx=`

A

`f_(n+1)(x)+c`

B

`(fn_(n+1)(x))/(n+1)+c`

C

`nf_(a)f(x)+c`

D

`(f_(n)(x))/(n)+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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