`int_0^(pi/2) root(3)(cosx)/(root(3)(cosx)+root(3)(sinx))dx`

By using the properties of definite integrals, evaluate the integrals int_(0)^((pi)/(2))(root(3)sinx)/(root(3)sinx+root(3)cosx)dx

Evaluate the following : int_(0)^(pi//2)(root3(secx))/(root3(secx)+root3("cosec x"))dx

Evaluate the following : int_(pi//6)^(pi//3)(root3(sinx))/(root3(sinx)+root3(cosx))dx

int_0^(pi/2) (Cosx - Sinx)dx

int_0^(pi/2) (cosx-sinx)/(1+sinx cosx) dx =

int_0^(pi/2) (sinx-cosx)/(sinx+cosx) dx =

int_(0)^(pi//2)(root3tanx)/((root3tanx+root3cotx))dx=?

int_(0)^(pi//6)(cosx)/((3+4sinx))dx