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If I(n)= int (log x)^(n)dx then I(n)+nI(...

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

A

`x("l n x")^(n- 1)`

B

`x ("ln x")^(n)`

C

`nx ("ln x")^(n)`

D

`nx (ln" x ")^(n - 1) `

Text Solution

Verified by Experts

The correct Answer is:
B
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