Some integrals with problematic evaluation

[quinyu]

As of complexity, I found a page which contains some observations (here) that might be worth considering - basically, the expression size (number of nodes required to represent it in a tree diagram) and expression depth (length of longest path from root to leaf) are the two measures that you're trying to minimize. Not sure if it is trivial to do so.

A more in-depth look at perceived complexity is in this paper, and although they focused on people who were visually impaired, I expect the results to be also applicable to people with normal vision, at least as a starting point.