Earlier today I got an answer on a question that I asked about integration. The user lulu provided me with a formula in the comments, which looks likes so:
$$\int(a\sin x+b)\,\mathrm{d}x=a\int \sin x \,\mathrm{d}x+b\int\,\mathrm{d}x.$$
After using it I was curious about where he found it, so I looked through some integration tables online but without being able to find exactly this formula. So, does anybody know where I can find all possible formulas (including this one) in a table within a pdf or some site?
What you have written is a property of the integral. If $\alpha$ is a real number, and $f(x),$ and $g(x),$ are integrable functions, then $$\int \alpha~f(x) + g(x)dx= \alpha\int f(x)dx + \int g(x)dx.$$
There are many integral formulas.
See:
http://integral-table.com/downloads/single-page-integral-table.pdf
I wouldn't recommend using a table. I would use Wolfram Alpha, or some other computer algebra system.
See:
http://www.wolframalpha.com