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

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

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.

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

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

Evaluate the following integrals using properties of integration : int_((pi)/(8))^((3pi)/(8))(1)/(1+sqrt(tan x )) dx

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