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If n in N and I(n) = int(log x)^(n) dx, ...

If `n in N` and `I_(n) = int(log x)^(n) dx`, then `I_(n)+nI_(n-1) =`

A

`(log x)^(n-1)`

B

`(log x)^(n)`

C

`x (log x)^(n)`

D

`x. (log x)^(n-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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