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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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