And, yes, I mean what you think it means: antidifferentiating. Finding a primative. Whatever... At my school, we're conducting an integration bee not unlike similar bees done elsewhere. The purpose of this thread is two-fold: 1. To compile a list of non-routine integrals 2. To discuss how these integrals are done Here is the list I came up with. Please add to the list. I'm not looking for 300 integrals no one at a community college can solve (and, yes, by "solve", I mean to antidifferentiate). They should stump a significant percentage of those who would get an A in Integral Calculus though not 100%. A few of these are downright easy but they can stump the woefully inexperienced. One or two of them are potentially very difficult if you're not clever enough. Thanks for your input!