Results 1 to 3 of 3

Thread: Integrate tan^2x

  1. #1
    Junior Member
    Join Date
    Nov 2004
    Posts
    128

    Integrate tan^2x

    Not sure how to do this. How do I integrate tan^2x?
    There is no knowledge that is not power.

  2. #2
    Elite Member
    Join Date
    Sep 2005
    Posts
    7,293
    Derive the general reduction formula and you can use it for any power of tangent:

    [tex]\L\\\int{tan^{n}(x)}dx\\=\int{tan^{n-2}(x)tan^{2}(x)}dx\\=\int{tan^{n-2}(x)(sec^{2}(x)-1)}dx\\=\int{tan^{n-2}(x)sec^{2}(x)}dx-\int{tan^{n-2}(x)}dx\\=\frac{tan^{n-2}}{n-1}-\int{tan^{n-2}(x)}dx[/tex]

  3. #3
    Elite Member
    Join Date
    Jan 2005
    Location
    Lexington, MA
    Posts
    5,614

    Re: Integrate tan^2x

    Hello, dagr8est!

    [tex]\L\int\tan^2x\,dx\:=\:\int\left(\sec^2x\,-\,1)\,dx[/tex]

    Can you finish it now?

    I'm the other of the two guys who "do" homework.

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •