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

int_(-pi/3)^0[cot^(-1)(2/(2cosx-1))+cot^(-1)(cosx-1/2)]dx is equal to (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)]dx i s equal to (a) (pi^2)/6 (b) (pi^2)/3 (c) (pi^2)/8 (d) (3pi^2)/8

int_(-(pi)/(3))^(0)[cot^(-1)((2)/(2cos x-1))+cot^(-1)(cos x-(1)/(2))]dx is equal to (pi^(2))/(6) (b) (pi^(2))/(3) (c) (pi^(2))/(8) (d) (3 pi^(2))/(8)

int_0^pi(xtanx)/(secx+cosx)dxi s (a) (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2 (d) (pi^2)/3

int_0^pi(xtanx)/(secx+cosx)dx is (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2 (d) (pi^2)/3

int_0^pi(xtanx)/(secx+cosx)dxi s (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2 (d) (pi^2)/3

int_0^pi(xtanx)/(secx+cosx)dxi s (pi^2)/4 (b) (pi^2)/2 (c) (3pi^2)/2 (d) (pi^2)/3

int_0^pi||sinx|-|cosx||dx is equal to (a) tan((3pi)/8) (b) tan(pi/8) (c) 4 tan(pi/8) (d) 2 tan((3pi)/8)

int_(pi//3)^(pi//2) (sqrt(1+cosx))/((1-cosx)^(5//2)) dx