Talk:Table of integrals

Should we include definite integrals (e.g. gamma functions, var. functions involving $$e^x$$ integrated) here? Should we include formulae like integrating by parts? - Paddu

What about some simple stuff, too?
It seems like you don't have some simple stuff indeed, which young students often need, such as, for example: $$\int \sqrt x\,\,dx$$
 * I think all the 'simple' integrals are covered. In your particular example, we're hoping the students would know that $$\sqrt {x} = x^{1/2}$$, so $${1 \over 2}$$ can be substituted for n in $$\int x^n\,dx = \frac{x^{n+1}}{n+1} + C$$, which is on the page. -- Jacottier 04:10, Apr 10, 2005 (UTC)
 * I found $$\int \sqrt{1 + x^2}\,\,dx$$ in the list of integrals of irrational functions but it seems that simple forms such as this one should be presented on the fisrt few pages and more comple forms put in the back -- Rtdrury 22:59, 28 November 2005 (UTC)

logs
What about $$\int \log_a x dx = {x\ln|x| - x \over \ln a} + c$$?

General form or the particular form
While I see your point about the Gaussian integral, Oleg, from my point of view as a scientist, it's much more convenient to have the more general form. I've never seen a table of integrals without this more general form. If this is not the appropriate article for the more general forms of integrals, where might I find such an article? Ed Sanville 19:52, 23 May 2005 (UTC)


 * OK, I don't feel strongly about it. I did not want a parameter in there since the other formulas around it did not have a parameter, and since putting that parameter did not add value. But I see your point. If you wish, you of course can add that back. Oleg Alexandrov 22:55, 23 May 2005 (UTC)

correct?
at cos^n, is there not a "-" too much?--80.144.112.154 14:54, 24 December 2005 (UTC)

?
Is there any reason why wikipedia doesn't have a real table of integrals? I realize that there are other sources, but a good table (that includes the derivation of each integral) can be a useful thing. Perhaps no one has just done it yet? 24.59.193.0 03:45, 8 March 2006 (UTC)

I agree, and also there is a complete lack of complex intedrals. Derivations should be very usefull, perhaps each derivation should have its own page? --Ravn 08:12, 28 April 2006 (UTC)

Improving readability
Is it possible to arrange the equations in an actual table? It would be easier to browse through them if they were all aligned equally. Also I propose we remove the constant C since it only makes the equations more messy. Roger 18:09, 14 May 2007 (UTC)


 * Ummmm, why remove C? It's a true fact the C needs to be there, otherwise, it's inaccurate. RaNdOm26 11:16, 15 May 2007 (UTC)


 * Maybe have 'C' in lowercase instead? Junh1024 09:09, 10 September 2007 (UTC)


 * No, C is always capital (at least whenever I've seen it it has been) -- Imperator3733 01:06, 19 October 2007 (UTC)

Printing problems
I noticed that when I print this page from my Windows XP Professional workstation to a HP LaserJet 8150DN printer, some, but not all, of the equations are distorted. The equations are slanted about 45 degree to the left, almost as if they were in reverse italics. For instance, the first equation in the Rules for integration of general functions and the second and third in the Integrals of simple functions, Rational functions sections.

However, if I use the same PC and print to a Xerox Phaser 7750 color printer, the output looks just fine.

Anyone else notice this? Is there any easy fix? Is some part of my system malfunctioning or out of date?

Just some feedback on the page. Thank you for all the work devoted to getting this page entered. I found it really helpful.

Kevinz 20:16, 21 September 2007 (UTC)

Help with integral
Does anyone know what $$\int \frac{1}{\sqrt{x^3+x}} \;dx$$ is? Thanks for your help. -- Imperator3733 01:16, 19 October 2007 (UTC)
 * I don't know. If the equation didn't have the square root over x^3+x, the integral would be quite easy to solve - factor the x, then separate the denominators into partial fractions, then integrate each fraction separately. But since the square root is there, it is much harder to do, so I can't help too much with that, cheers. RaNdOm26 14:01, 19 October 2007 (UTC)

Table, List of Integrals
Why is it that we have distinct "table" and "list" of integrals? The pages are essentially redundant. We should merge them and establish a redirect.