If ((x+1)^(2))/(x^(3)+x)=(A)/(x)+(Bx+C)/...

If `((x+1)^(2))/(x^(3)+x)=(A)/(x)+(Bx+C)/(x^(2)+1)`, then
`cosec^(-1)((1)/(A))+cot^(-1).(1)/(B)+sec^(-1)C` = _________

A

`(5pi)/(6)`

B

0

C

`pi/6`

D

`pi/2`

Verified by Experts

The correct Answer is:

A

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