What are the best resources for learning LaTex?

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Is there any list of tags on this website?
 
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I presume you mean things like \sum. These 'tags' aren't forum/html tags, they are the normal 'tags' in LaTeX; there is an exhaustive list of such things on the web if you google for an introduction to latex.
 
click here

If you click on that (Or any latex code on this forum) and click on "LaTeX code reference" you will get an introduction to some of the common LaTeX tags. But of course as Matt Grime said, if you want an exhaustive one you will need to go to google.
 
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One of the most useful thing in 'real' latex and not just this forum implementation og the math is defining new comands. that new you just define your bra and kets:
\newcommand{\ket}[1]{\, |#1\rangle}
\newcommand{\bra}[1]{\langle #1 |\,}

\langle \phi|\land |\phi\rangle
 
There are a lot of LaTex tutorials and references on the Web.

The TeX Users Group has a web site, http://www.tug.org/" .

I find the following three references to be very useful. My copies are very well-worn (or the electronic equivalence of well-worn):
http://tobi.oetiker.ch/lshort/lshort.pdf"
http://www-h.eng.cam.ac.uk/help/tpl/textprocessing/ltxprimer-1.0.pdf"
"ftp://ftp.ams.org/pub/tex/doc/amsmath/amsldoc.pdf"[/URL]
 
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Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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