maths question time again :)
Here we are given the following....
I_{n,p} = $$\int_{0}^{1} {x^p}{(1-x)^n} dx $$
p\ge 0, n\ge 0
and told to
1) Show that I_{n,p} = I_{p,n}
2) prove that, for p\ge 1, {(n+1)}I_{p,n} = {p}I_{p-1,n+1}
2II) and also that p\ge 1, {(p+n+1)}I_{p,n} =...