(e^(x)tan x+1)/(tan x)

int e^(x)((2tan x)/(1+tan x)+cot^(2)(x+(pi)/(4)))dx is equal to e^(x)tan((pi)/(4)-x)+ce^(x)tan(x-(pi)/(4))+ce^(x)tan((3 pi)/(4)-x)+c(d) none of these

If int e ^(x) ((2tan x)/(1+tan x)+ cosec ^(2)(x+(pi)/(4)))dx =e ^(x). g(x)+k, then g ((5pi)/(4))=

(d)/(dx)((1-tan x)/(1+tan x))*(d)/(dx)((1-tan x)/(1+tan x))

Prove that (tan((pi)/(4)+x))/(tan((pi)/(4)-x))=((1+tan x)/(1-tan x))^(2)

int e^(x) (tan x tan^(2) x ) dx =

" tan " ((pi)/(4) +x) =(1 + tan x)/(1-tan x)

(tan(x+y)-tan x)/(1+tan(x+y)tan x)=tan y

(tan(x+y)-tan x)/(1+tan(x+y)tan x)=tan y

" tan " ((pi)/(4) -x) =(1 - tan x)/( 1+ tan x)