The integral
called the Eulerian integral of the first kind by Legendre and Whittaker and Watson (1990). The solution is the beta function .
The integral
called the Eulerian integral of the first kind by Legendre and Whittaker and Watson (1990). The solution is the beta function .
Weisstein, Eric W. "Beta Integral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BetaIntegral.html