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int (x^(2))/(x^(6)+2x^(3)+2)dx=...

`int (x^(2))/(x^(6)+2x^(3)+2)dx=`

A

`Tan^(-1)(x^(3)+1)+c`

B

`(1)/(3)Tan^(-1)(x^(3)-1)+c`

C

`(1)/(3)Tanh^(-1)(x^(3)-1)+c`

D

`(1)/(3) Tan^(-1)(x^(3)+1)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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