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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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