Question Number 188924 by mathlove last updated on 09/Mar/23
Answered by qaz last updated on 10/Mar/23
$$\begin{pmatrix}{{n}}\\{{k}}\end{pmatrix}^{−\mathrm{1}} =\left({n}+\mathrm{1}\right)\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{{k}} \left(\mathrm{1}−{x}\right)^{{n}−{k}} {dx}... \\ $$