The value of int("ln"|x|)/(xsqrt(1+ln|x|...

The value of `int("ln"|x|)/(xsqrt(1+ln|x|)`dx equals:

A

`(2)/(3)sqrt(1+ln|x|)(ln|x|-2)+C`

B

`(2)/(3)sqrt(1+ln|x|)(ln|x|+2)+C`

C

`(1)/(3)sqrt(1+ln|x|)(ln|x|-2)+C`

D

`2sqrt(1+ln|x|)(3ln|x|-2)+C`

Verified by Experts

The correct Answer is:

A

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