int(dx)/((1+sqrt(x))sqrt((x-x^(2)))) is ...

`int(dx)/((1+sqrt(x))sqrt((x-x^(2))))` is equal to

A

`(1+sqrt(x))/((1-x)^(2))+c`

B

`(1+sqrt(x))/((1+x)^(2))+c`

C

`-2sqrt(((1-sqrt(x)))/((1+sqrt(x))))+c`

D

`(2(sqrt(x)-1))/(sqrt((1-x)))+c`

Verified by Experts

The correct Answer is:

D

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