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

The value of int_((pi)/(6))^((pi)/(3)) (dx)/(1+sqrt(tan x)) is equal to -

Prove that int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx and hence evaluate int_((pi)/(6))^((pi)/(3))(1)/(1+sqrt(tanx))dx.

Evaluate int_((pi)/(6))^((pi)/(3))(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx

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

Evaluate : int_((pi)/(6))^((pi)/(3)) cos x dx .

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