int(-pi//3)^(0)[cot^(-1)((2)/(2cosx-1))+...

`int_(-pi//3)^(0)[cot^(-1)((2)/(2cosx-1))+cot^(-1)(cosx-1/2)]dx` is equal to

A

`(pi^(2))/(6)`

B

`(pi^(2))/(3)`

C

`(pi^(2))/(8)`

D

`(3pi^(2))/(8)`

Verified by Experts

The correct Answer is:

A

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