Integrate 2 int x^2 sec^2 x tan x dx

Kareem Mejia

Kareem Mejia

Answered question

2022-11-07

Integrate 2 x 2 sec 2 x tan x d x

Answer & Explanation

Ismael Wilkinson

Ismael Wilkinson

Beginner2022-11-08Added 13 answers

Integrate by parts, differentiating x 2 and integrating sec 2 x tan x by substitution
I = x 2 sec 2 x tan x d x = 1 2 x 2 sec 2 x x sec 2 x d x = 1 2 x 2 sec 2 x ( x tan x sin x cos x d x ) by parts; note  2 = 1 2 x 2 sec 2 x x tan x ln | cos x | + C .
So
2 I = 2 x 2 sec 2 x tan x d x = x 2 sec 2 x 2 x tan x 2 ln | cos x | + C .

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?