`int_(-pi/3)^0[cot^(-1)(2/(2cosx-1))+cot^(-1)(cosx-1/2)]dxi se q u a lto` `(pi^2)/6` (b) `(pi^2)/3` (c) `(pi^2)/8` (d) `(3pi^2)/8`
`int_(-pi/3)^0[cot^(-1)(2/(2cosx-1))+cot^(-1)(cosx-1/2)]dxi se q u a lto`
`(pi^2)/6`
(b) `(pi^2)/3`
(c) `(pi^2)/8`
(d) `(3pi^2)/8`
A. `(pi^(2))/6`
B. `(pi^(2))/3`
C. `(pi^(2))/8`
D. `(3pi^(2))/8`
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Correct Answer - A
For `x epsilon(-(pi)/3,0),2 cos x-1gt0`
`:.I=int_(-pi//3)^(pi)//2 dx=(pi^(2))/6`
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