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36/piint(pi//6)^(pi//3)(dx)/(1+sqrt(cotx...

`36/piint_(pi//6)^(pi//3)(dx)/(1+sqrt(cotx))` equals to

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

int _(pi//6)^(pi//3) (dx)/(1+sqrt(tanx)) is equal to :

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

int_(0)^(pi/2)(dx)/(1+sqrt(cotx))

int_(0)^(pi//2)(1)/(1+sqrt(cotx))dx=

int_(0)^(pi//2)(1)/((1+sqrt(cotx)))dx=?