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

`int (x^4-1)/(x^2)sqrt(x^4+x^2+1) dx` equal to (A) `sqrt((x^4+x^2+1)/x) + c` (B) `sqrt(x^4 + 2 - 1/x^2) + c` (C) `sqrt(x^2 + 1/x^2 + 1)` + c (D) `sqrt((x^4-x^2+1)/x) + c`

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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