Chapter 11.3, Problem 13P

Express each of the following integrals as a $\Gamma$ function. By computer, evaluate numerically both the $\Gamma$ function and the original integral.

${\displaystyle {\int }_0^1{x}^2}{\left(\ln \frac{1}{x}\right)}^{3}dx$ Hint: Put $x=e^{-u}$