int1/((1+x^4)sqrt(sqrt(1+x^4)-x^2))dx...

`int1/((1+x^4)sqrt(sqrt(1+x^4)-x^2))dx`

A

`tan^(-1)(sqrt(sqrt(1+(1)/(x^4))-1))+C`

B

`tan^(-1)(sqrt(sqrt(1-(1)/(x^4))+1))+C`

C

`-tan^(-1)(sqrt(sqrt(1+(1)/(x^4))+1))+C`

D

`-tan^(-1)(sqrt(sqrt(1+(1)/(x^4))-1))+C`

Verified by Experts

The correct Answer is:

D

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