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int (sin^(-1) x -cos^(-1)x)/(sin^(-1) x ...

`int (sin^(-1) x -cos^(-1)x)/(sin^(-1) x + cos^(-1)x) ` dx =

A

`(4)/(pi) [ xsin^(-1) x + sqrt(1 -x^(2)) ] - x + c`

B

`(1)/(pi) [ xsin^(-1) x + sqrt(1 -x^(2)) ] - x + c`

C

`(2)/(pi) [ xsin^(-1) x + sqrt(1 -x^(2)) ] - x + c`

D

`(2)/(pi) [ xsin^(-1) x - sqrt(1 -x^(2)) ] - x + c`

Text Solution

Verified by Experts

The correct Answer is:
A
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