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

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

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

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

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

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

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