int_(a,tan x+cot x)(tan x-c_(x)

int(tan x)/(cot x)dx

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

int (tan x + cot x) dx

int (tan x +cot x)^(2)dx

int(tan x-2cot x)^(2)dx

Evaluate int(a tan x - b cot x)^(2) dx

int (tan x - cot x )^(2) dx =

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

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