Questions asked by Ultrilliam

Questions asked by Ultrilliam

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Can you marry the Queen of England without being a Christian?
If $σ = \int_{0}^{1} \frac{e^{x}}{1 + x} d x$ $sigma = int_0^1 (e^x)/(1+x) dx$ , show that $\int_{0}^{1} \frac{x e^{x}}{1 + x} d x = e - 1 - σ$ $int_0^1 (xe^x)/(1+x) dx = e - 1 - sigma$ Hint: the cutest solution is often over-looked. ?
Show that? $(P(N', n))/(P(N,n)) ~~ ((N')/N)^n$ $(N', N, n) in ZZ^+$ $(N', N )">>" n$ $P(x,y) = (x!)/((x-y)!)$ Stirling Approx allowed