Definite Integral from 0 to 1 of Power of x by Power of Logarithm of x

Theorem

 * $\ds \int_0^1 x^m \paren {\ln x}^n \rd x = \frac {\paren {-1}^n \map \Gamma {n + 1} } {\paren {m + 1}^{n + 1} }$

where:
 * $n$ is a non-negative integer
 * $m$ is a real number with $m > -1$.