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

Evaluate: `int(dx)/((x+1)sqrt(1+x-x^(2))`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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