(tan x+cot x)/(tan x-cot x)

int_(0)^((pi)/(2))(a tan x+b cot x)/(tan x+cot x)dx=

Find period of the function f(x)=cos(tan x+cot x)cos(tan x-cot x)

The area bounded by the curve f(x)=||tan x+cot x|-|tan x-cot x|| between the lines x=0,x=(pi)/(2) and the X - axis is

int_(0)^((pi)/(2)) (3 tan x + 4 cot x)/(tan x + cot x)dx

Evaluate the following integrals (ii) int_(0)^(pi/2)(3 tan x + 3 cot x)/(tan x + cot x) dx

The number of values of x in (0,2 pi) where the function f(x)=(tan x+cot x)/(2)-|(tan x-cot x)/(2)| continuous but non-derivable:

tan x+cot x=2

int( d x)/(sin ^(2) x cos ^(2) x) equals a) tan x+cot x+C b) tan x-cot x+C c) tan x cot x+C d) tan x-cot 2 x+C

( cot x)/( cot x- cot 3x)+ ( tan x)/( tan x- tan 3x)=

Is |tan x+cot x|<|tan x|+|cot x| true for any x? If it is true,then find the values of x.