Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By BobP

Math Help - Primitive of (a^2 + x^2)^-1

  1. #1
    Member
    Joined
    May 2009
    Posts
    109

    Primitive of (a^2 + x^2)^-1

    the Primitive of  (a^2 + x^2)^-1 = \frac{1}{a} tan^-1(x/a)

    so why does the Primitive of (a^2 + 1)^-1 = tan^-1(a) and not tan^-1(\frac{1}{a})?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2009
    Posts
    661
    Thanks
    133

    Re: Primitive of (a^2 + x^2)^-1

    (a^{2}+1)^{-1} is a constant. Integrate a constant and you get ..... . There shouldn't even be an arctan there.
    Thanks from alyosha2
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    May 2009
    Posts
    109

    Re: Primitive of (a^2 + x^2)^-1

    ahh so a is always the constant and x is always the variable. OK, problem solved.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. primitive roots
    Posted in the Number Theory Forum
    Replies: 5
    Last Post: October 4th 2011, 11:50 AM
  2. Replies: 1
    Last Post: February 27th 2011, 06:59 PM
  3. primitive of z^2 . e^z^3
    Posted in the Calculus Forum
    Replies: 4
    Last Post: May 10th 2009, 09:31 AM
  4. primitive roots
    Posted in the Number Theory Forum
    Replies: 3
    Last Post: February 24th 2009, 01:27 PM
  5. Primitive roots mod p
    Posted in the Number Theory Forum
    Replies: 4
    Last Post: February 11th 2009, 03:03 PM

Search Tags


/mathhelpforum @mathhelpforum