New posts in Beta Function

Prove: $\int_0^2 \frac{dx}{\sqrt{1+x^3}}=\frac{\Gamma\left(\frac{1}{6}\right)\Gamma\left(\frac{1}{3}\right)}{6\Gamma\left(\frac{1}{2}\right)}$

How to calculate $\int_0^1\frac{\ln^2x\ln^2(1-x^2)}{1-x^2}\ dx$?

Integral $\int_{0}^{\pi}\frac{\sin^px}{1+\cos x} dx $

$ \int_0^\frac{\pi}{2}\ln^n\left(\tan(x)\right)\:dx$

Seeking methods to solve: $\int_0^\infty \frac{\ln(t)}{t^n + 1}\:dt$

Integral $\int_0^1 \frac{(1-x^4)^{3/4}}{(1+x^4)^2}$, may involve beta function

Laplace transform to prove relationship between the Gamma and Beta functions

Find the value of $A+B+C$ in the following question?

Pi, the Lemniscatic elliptic functions, and the Dixonian elliptic functions

Prove this integral $\int_0^\infty \frac{dx}{\sqrt{x^4+a^4}+\sqrt{x^4+b^4}}=\frac{\Gamma(1/4)^2 }{6 \sqrt{\pi}} \frac{a^3-b^3}{a^4-b^4}$