`I=int e^(x)sec x(1+tan x)dx`

Evaluate: int e^(x)sec x(1+tan x)dx

int e^(x) sec x (1 + tan x) dx is equal to

int e^(x)sec e^(x)tan e^(x)dx

evaluate int e^(x)(sec x+sec x tan x)dx

int sec x(sec x+tan x)dx

int sec x(sec x+tan x)dx

int cot^(-1)(sec x-tan x)dx=

I= int(1)/(sec x-tan x)dx

If int e^(sec x)(sec x tan x f(x)+(sec x tan x + sec^(2) x))dx = e^(sec x)f(x) + C , then a possible choice of f(x) is

int(sec x)/(sec x+tan x)dx=