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For any positive integer n , int (dx)/( ...

For any positive integer `n , int (dx)/( x ^(n +1) + x )` is equal to:

A

`1/n log _(e) ( x ^(n) +1) + c`

B

`1/n log _(e) ((1)/( x ^(n) + 1)) + c`

C

`(1)/(n) log _(e) ((x)/( x ^(n) +1)) + c`

D

`(1)/( n +1) log _(e) ((x ^(n))/( x ^(n) + 1)) +c `

Text Solution

Verified by Experts

The correct Answer is:
D
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