`int e^x sec e^x dx`

int e^x sin(e^x) dx

inte^(xlna)*e^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_(0)^(pi//4) e^(x) (tan x+ sec^(2)x) dx

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

(i) int e^(x). "[log (sec x+tan x) + sec x dx " (ii) int (e^(-x)(cos x-sin x))/(cos^(2) x) dx

int e^x {f(x)-f'(x)}dx= phi(x) , then int e^x f(x) dx is

int (e^x +2x)/(e^x+x^2) dx

int (e^x)/e^(2x-4) dx

Evaluate: int e^x/sqrt (e^(2x)-9)dx