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int(pi/6)^( pi/3)(dx)/(1+sqrt(tan^(n)))=...

int_(pi/6)^( pi/3)(dx)/(1+sqrt(tan^(n)))=(pi)/(12)

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int_(pi//6)^(pi//3)(1)/((1+sqrt(tanx)))dx=(pi)/(12)

int_(pi//6)^(pi//3) (dx)/(1 + sqrt(tan x)) =

int_((pi)/(6))^((pi)/(3))(dx)/(1+sqrt(tanx))=(pi)/(12)

Prove that int_(pi//6)^(pi//3)1/(1+sqrt(tanX))dx =(pi)/12

int_(pi//6)^(pi//3)dx/(1+sqrtcotx)

int_(pi/6)^(pi/3) (dx)/(1+sqrtcotx) =