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int(1+logx)/((1+xlogx)^(2))dx is equal t...

`int(1+logx)/((1+xlogx)^(2))dx` is equal to
a)`(1)/(1+xlog|x|)+C` b)`(1)/(1+log|x|)+C` c)`(-1)/(1+xlog|x|)+C` d)`log|(1)/(1+log|x|)|+C`

A

`(1)/(1+xlog|x|)+C`

B

`(1)/(1+log|x|)+C`

C

`(-1)/(1+xlog|x|)+C`

D

`log|(1)/(1+log|x|)|+C`

Text Solution

Verified by Experts

The correct Answer is:
C
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