Función Beta (Incluye: propiedades)

$$$\mathrm{B} (x,y) = \int _{0}^1 t^{x - 1}(1 - t)^{y - 1} dt$$

Propiedades

$$\mathrm{B} (x,y) = \frac {\Gamma(x) \Gamma(y)}{\Gamma(x + y)}$$

$$\mathrm{B} (x,y) = \mathrm{B} (y,x)$$

$$\mathrm{B} (x,y) = 2 \int _{0}^{\pi / 2} \cos ^{2x - 1}(\theta) \sin ^{2y - 1} (\theta) d\theta$$