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JH
Numerade Educator

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Problem 15 Easy Difficulty

Evaluate the integral.

$ \displaystyle \int x \sec x \tan x\ dx $

Answer

$$x \sec x-\ln |\sec x+\tan x|+C$$

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Video Transcript

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.