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

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

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)((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

e^(tan^(-1)x)log(tan x)

underset(x to 0)"Lt" (e^(tan x)-e^(x))/(tan x-x)=

tan ^ (- 1) ((cos x-sin x) / (cos x + sin x)) = tan ^ (- 1) ((1-tan x) / (1 + tan x))

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

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