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int (x^(2)(6x^(6)+5x^(4)+3))/(sqrt(x^(4)...

`int (x^(2)(6x^(6)+5x^(4)+3))/(sqrt(x^(4)+x^(6)+1)) ` dx is
(Where 'c' is constant of integration)

A

`sqrt(x^(3)+x^(2)+1) +c`

B

`x^(3)sqrt(x^(6)+x^(4)+1) +c`

C

`2x^(2)sqrt(x^(6)+x^(4)+1) +c`

D

`sqrt(x^(6)+x^(4)+1) +c`

Text Solution

Verified by Experts

The correct Answer is:
B
`int (6x^(8)+5x^(6)+3x^(2))/(sqrt(x^(6)+x^(4)+1))dx`
`1/2int (12x^(11)+10x^(9)+6x^(5))/(sqrt(x^(12)+x^(10)+x^(6)))dx`
`1/2 (2sqrt(x^(12)+x^(10)+x^(6)))+c`
`x^(3)sqrt(x^(6)+x^(4)+1)+c`.
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