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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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