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Evaluate: int(sin^(-1)sqrt(x)-cos^(-1)sq...

Evaluate: `int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x))\ dx`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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