int e^(x)((2tan x)/(1+tan x)+cot^(2)(x+(pi)/(4)))dx" is eqal to "

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))=

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

int e^(x) (1+tan x + tan^(2) x) dx

inte^(x) ( 1- cot x + cot^(2) x) dx is eqal to

int e^x(1 + tan x + tan^2x) dx =

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

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