List questions from beta-function | MathQa

kth Moment of Beta Distribution

Published on 12 Jan 2025 - 21:44

Given the parameters of a Beta Distribution, how do I calculate the probability of a specific value?

Published on 30 Dec 2024 - 3:00

Evaluate $\int_0^1\frac{\ln{\left(1-kt^2(1-t)+\frac{t^4(1-t)^2}{4}\right)}}{t}dt$ , where $k=\cos1$

Published on 30 Dec 2024 - 12:06

Double integral involving beta functions

Published on 30 Dec 2024 - 20:19

Using the Eulerian integrals evaluate $\int_0^\infty \frac{\ln^2{x}}{1+x^4} \mathrm{d}x$

Published on 31 Dec 2024 - 8:35

Integral of the incomplete beta function

Published on 31 Dec 2024 - 1:55

Show $\int_{0}^{\infty} \frac{x^{-z}}{(1 + x)^{2}} ~ \mathrm{d}{x} = \frac{\pi z}{sin(\pi z)}$

Published on 30 Dec 2024 - 9:05

How do I calculate the Beta-function $B(m,n) = 2\int_0^{\frac{\pi}{2}}\sin ^{2 m-1}(t) \cos ^{2 n-1}(t)\, dt$

Published on 20 Dec 2024 - 0:04

Proof that Beta-function $B(m,n)$ = $\frac{n-1}{m}B(m+1,n-1)$?

Published on 30 Dec 2024 - 1:15

Alpha and Beta question [Addmath, quadratic equations]

Published on 30 Dec 2024 - 23:08