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

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

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

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.

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 -

int_((-pi)/(4))^((pi)/(4)) (dx)/(1+e^(tan x))

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