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

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

A

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

B

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

C

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

D

none of these

Text Solution

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The correct Answer is:
C
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