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

`int (x^4 -1)/(x^2 (x^4+x^2+1)^(1/2))` dx is equal to

A

`sqrt((x^4+x^2+1)/x)+c`

B

`x^2/sqrt(x^4+x^2+1)+c`

C

`x(x^4+x^2+1)^(3/2) +c`

D

`sqrt(x^4+x^2+1)/x+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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