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What is your favorite integral?

  1. Dec 14, 2011 #1
    I do love the Gaussian Integral. It's a beautiful one for sure.

    Also though,

    ∫(sin x)/x (over all space)

    is a great one.
     
  2. jcsd
  3. Dec 14, 2011 #2

    Pengwuino

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    Gold Member

    [itex]\int e^x dx[/itex]

    Genius.
     
  4. Dec 15, 2011 #3
    You would have that as your favorite integral xP

    Hmm my favorite integral....it depends what I feel like doing...lol! I'll edit this later and think about this further.
     
  5. Dec 15, 2011 #4
    .




    [itex]\int\frac{1}{\text{cabin}}dcabin \ = \ ? [/itex]




    [itex]\text{log cabin plus sea}[/itex]
     
  6. Dec 15, 2011 #5
    The one I already solved :P
     
  7. Dec 15, 2011 #6
    http://www.2shared.com/document/D6szXApS/Integrals_from_R_to_Z.html

    A list of my favourite integrals.

    https://www.physicsforums.com/showpost.php?p=3433157&postcount=272

    http://www.matematikk.net/ressurser/matteprat/viewtopic.php?t=24242&postdays=0&postorder=asc&start=0

    http://www.artofproblemsolving.com/Forum/resources.php?c=87&cid=184

    http://www.mathematica.gr/forum/viewtopic.php?f=9&t=7842&start=20

    And just to top it of

    [tex] \int \sin(\ln x) + \cos(\ln x) dx[/tex]
    [tex] \int_{\mathbb{R}} \sin(x^2) + \cos(x^2) dx[/tex]
    [tex] \int (2x^2+1)e^{x^2} dx[/tex]
    [tex] \int \frac{x^2}{x^2+4x+8} dx[/tex]
    [tex] \int \frac{x e^x}{(1+x)^2} dx[/tex]
    [tex] \int \frac{x^{29}}{\left( 5x^2 + 49 \right)^{17}} dx[/tex]

    But yeah, the list of my favourite integrals changes from day to day so :p
     
    Last edited: Dec 15, 2011
  8. Dec 15, 2011 #7

    Borek

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    Staff: Mentor

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