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The value of int((1+x))/(x(1+x e^(x))^(2...

The value of `int((1+x))/(x(1+x e^(x))^(2))dx`, is equal to

A

`log | (x e ^(x))/( 1 + xe ^(x))| + (1)/( 1 + xe^(x ))+c`

B

`(1 + xe ^(x)) + log | (xe ^(x))/( 1 + xe^(x))|+c`

C

`(1)/( 1 + xe ^(x)) + log |xe ^(x) (1 + xe ^(x))|+c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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