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Evaluate: int1/((1+x^2)sqrt(1-x^2))dx...

Evaluate: `int1/((1+x^2)sqrt(1-x^2))dx`

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
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