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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) + n I_(n - 1) `=

A

`(x log x)^(n)`

B

`x (log x)^(n)`

C

`n(log x)^(n)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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