To the contrary, I think that the original example is appropriate for the intended audience (first year undergraduates). Most of these students haven't heard of the Beta integral. Yours truly, Lady Sue

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Why not consider the more general problem of f(x) = x^{p} (1-x)^{q} since I find the above example is too specific and the general problem is more interesting because f(x) is the integrand of the Beta integral. Just a suggestion, Sir Isaac