" 58."int(tan x+tan x)/(tan x-tan alpha)dx

int(tan x-tan alpha)/(tan x+tan alpha)dx

int (tan x - tan alpha)/(tan x+tan alpha)dx

Let alpha in (0, pi/2) be fixed. If the integral int(tan x + tan alpha)/(tan x - tan alpha)dx = A(x)cos 2 alpha+B(x) sin 2 alpha +C ,where C is a constant of integration, then the functions A(x) and B(x) are respectively.

int tan x tan2x tan3xdx

int tan x tan 2x tan 3x dx

" (.) "int(tan x)/(1+tan x)dx

int(1-tan x)/(1+tan x)dx

int tan 2x tan 3 x tan 5x dx

int tan x tan2x tan3xdx=