int dx/((1+x^2)sqrt(p^2+q^2(tan^(- 1)x)^...

`int dx/((1+x^2)sqrt(p^2+q^2(tan^(- 1)x)^2))`

A

`(1)/(q) log [ q tan^(-1) x+ sqrt(p^2 +q^2 (tan^(-1) x)^2)]+C`

B

`log [q tan^(-1) x + sqrt(p^2 +q^2 (tan^(-1) x)^2)]+c`

C

`(2)/(3q )(p^2 +q^2 tan^(-1) x)^(3//2)+c`

D

None of these

Verified by Experts

The correct Answer is:

A

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