[math-fun] integration by parts for numerical computation

I seem to recall that Murray Klamkin once gave an example about how one can use integration by parts to get a better estimate of the integral of x^x from x=100 to x=101 than one would get by looking at the original integral. I may have the details wrong, though; can anyone recall how this goes? (In fact, I think I even know where Klamkin published it: it was in "On the teaching of mathematics so as to be useful" or "On the ideal role of an industrial mathematician and its educational implications". But I can't locate a world-readable copy of either article.) Thanks, Jim Propp