User:Zeitgeist0/Sandbox

$$a_k = \sum_{k=0}^{\infty} f(t)\cos(k \omega t)$$

$$b_k = \sum_{k=0}^{\infty} f(t)\sin(k \omega t)$$

$$\int_0^{2 \pi} \int_0^\pi \int_0^a r^2 \sin \theta \, dr \, d \theta \, d \phi$$

$$ \mathfrak{L} (s) \left\{ u(t) \right\} = \frac{1}{s} $$

$$ \mathfrak{L} (s) \left\{ \delta (t) \right\} = 1 $$

$$ \mathfrak{L} (s) \left\{ t\,u(t) \right\} = \frac{1}{s^2} $$