User:BalazsH/Sandbox

From Wikipedia, the free encyclopedia

This is the user sandbox of BalazsH. A user sandbox is a subpage of the user's user page. It serves as a testing spot for the user and is not an encyclopedia article. For a sandbox of your own, create a user subpage.

[edit] Maths stuff

$m=5n-21\,$

$m+21=5n\,$

$n = \frac{m+21}{5}\,$

$(1+x)^n = nx + \left ( \frac{n(n-1)x^2}{2!} \right ) + \left ( \frac{n(n-1)(n-2)x^3}{3!} \right ) + \left ( \frac{n(n-1)(n-2)(n-3)x^4}{4!} \right ) + ... \,$

$\int_{1}^{2} \frac{x^2}{x^3 + 3} \, dx$ $= \,$ $\frac{1}{3} \bigg [ ln|x^3 + 3| \bigg ]_{1}^{2} \,$

$\int_{b}^{a} u\frac{dv}{dx} dx = \bigg [uv \bigg ]_{b}^{a} - \int_{b}^{a} v\frac{du}{dx}dx \,$