Evaluate `intpi/6pi/3(dx)/(1+sqrt(tanx))""`

Using the properties of definite integral Evaluate : int_(pi/6)^(pi/3) 1/(1 + sqrttanx) dx

Statement I: The value of the integral int_(pi//6)^(pi//3) (dx)/(1+sqrt(tanx)) is equal to (pi)/6 . Statement II: int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx

I_(1) = int_(pi/6)^(pi/3) (dx)/(1+sqrt(tanx)) and I_(2) = (sqrt(sinx)dx)/(sqrt(sinx) + sqrt(cosx)) What is I_(1) equal to ?

I_(1) = int_(pi/6)^(pi/3) (dx)/(1+sqrt(tanx)) and I_(2) = (sqrt(sinx)dx)/(sqrt(sinx) + sqrt(cosx)) What is I_(1) - I_(2) equal to ?

Evaluate :int_((pi)/(6))^(3)(dx)/(1+sqrt(cot x))

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

Evaluate int(tanx dx)/(sqrt(2+3tan^(2)x)).

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

Evaluate int_(-pi//3)^(pi//3)(sqrt(1+sin2x))/(|cosx|)dx ,

The value of the integral int_(pi//6)^(pi//3) (1)/(1+sqrt(tan x))dx is