# What is your favorite integral?

1. Dec 14, 2011

### FrancisD

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. Dec 14, 2011

### Pengwuino

$\int e^x dx$

Genius.

3. Dec 15, 2011

### Ivan92

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.

4. Dec 15, 2011

### checkitagain

.

$\int\frac{1}{\text{cabin}}dcabin \ = \ ?$

$\text{log cabin plus sea}$

5. Dec 15, 2011

### JHamm

The one I already solved :P

6. Dec 15, 2011

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

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

But yeah, the list of my favourite integrals changes from day to day so :p

Last edited: Dec 15, 2011
7. Dec 15, 2011