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Green’s functions Green’s functions are used primarily as a method of solving linear differential equations. A green’s function will be denoted as G(t, t’), where it is technically a function of two variables, t and t’.

$\displaystyle{\int\sqrt{\tan x}}~dx$ Today, we’ll integrate this POS function you see right before you. Since this page will probably be long enough, I’ll just get on with it. If you haven’t seen this before, you might think that it would work to make use of u = tanx and du = sec2x dx, or alternatively, du = u2 + 1 dx.

Simple Rocket Motion Rocket motion. No, not that rocket that’s attached to your body. An actual space rocket that probably was built by your sketchy neighbor who parks their cars outside the garage.

Dirac-Delta Function These things are the most annoying as fuck functions you will see actually exist in mathematics. Basically, a dirac-delta function, labelled δ(x), is defined as follows: $$ \tag{☆}\delta(x)= \begin{cases} 0 & \quad x \neq 0 \newline \infty & \quad x = 0 \end{cases} $$