Favorite Integral: Gaussian or ∫(sin x)/x?

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    Integral
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Discussion Overview

The thread discusses participants' favorite integrals, highlighting various mathematical expressions and personal preferences. The scope includes both well-known integrals and more whimsical or less conventional ones, reflecting a mix of appreciation for beauty in mathematics and personal enjoyment.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants express admiration for the Gaussian Integral, citing its beauty.
  • Another participant mentions the integral of sin(x)/x over all space as a favorite.
  • One participant proposes the integral of e^x as a favorite, indicating a personal preference.
  • A humorous contribution presents a playful integral involving "cabin," showcasing a light-hearted approach to the topic.
  • Another participant shares a list of favorite integrals, indicating that their preferences change frequently.

Areas of Agreement / Disagreement

Participants express a variety of favorite integrals, with no consensus on a single favorite. Multiple competing views and personal preferences remain evident throughout the discussion.

Contextual Notes

Some integrals mentioned are well-known, while others are more whimsical or personal, reflecting the subjective nature of favorite mathematical expressions. The discussion does not resolve which integral is favored overall.

Who May Find This Useful

Readers interested in mathematical integrals, personal preferences in mathematics, or those looking for inspiration in exploring different integrals may find this discussion engaging.

FrancisD
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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.
 
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[itex]\int e^x dx[/itex]

Genius.
 
Pengwuino said:
[itex]\int e^x dx[/itex]

Genius.
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.
 
.




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




[itex]\text{log cabin plus sea}[/itex]
 
The one I already solved :P
 
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:

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