Evaluate the integral.
$ \displaystyle \int x \sec x \tan x\ dx $
$$x \sec x-\ln |\sec x+\tan x|+C$$
let's use integration by parts for this inaugural. Take you to be X So do you equals the X. Then we're left over with dv equal c can ex tenets p x and then integrate this and you get sick and x so here the next there. So recall that formula for integration my parts and then multiply you and be so x times he can minus in a girl and then feed to you. So C can ex and this is integral from the table. This is just in a world veteran function Might be one of the harder ones, the memorize. And so here we have natural log absolute value seek an ex plus tan X and then at our constant veneration see and that's your final answer.