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

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

A

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

B

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

C

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

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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