Integrate \tan^2(\frac{\pi}{12}\cdot y)

dooporpplauttssg

dooporpplauttssg

Answered question

2022-04-24

Integrate tan2(π12y)

Answer & Explanation

Davon Friedman

Davon Friedman

Beginner2022-04-25Added 13 answers

Let π12y=tπ12dy=dtdy=12πdt
We have
tan2(π12y)dy=tan2(t)12πdt
=12πtan2(t)dt
=12πsec2(t)dt12πdt
=12πtan(t)12πt+C
Setting t=π12y
=12πtan(π12y)12ππ12y+C
=12πtan(π12y)y+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?