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
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