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

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

0

B

`pi/2`

C

`(5pi)/6`

D

`pi/6`

Text Solution

Verified by Experts

The correct Answer is:
C
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