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If int (x^(4) + 1)/(x^(6) + 1) dx = A ta...

If `int (x^(4) + 1)/(x^(6) + 1) dx = A tan^(-1) x + B tan^(-1) x^(3) + c`, then (A,B) =

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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