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" (i) "int(pi/6)^( pi/3)(1)/(1+sqrt(cot ...

" (i) "int_(pi/6)^( pi/3)(1)/(1+sqrt(cot x))dx=(pi)/(12)

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int_(pi/6)^(pi/3) 1/(1+sqrt(cot x ))d x

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

int_(pi/12)^(pi/2)(dx)/(1+sqrt(cotx))

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

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

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

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

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