After searching for applications of calculus for biology students, I've found that many of the results are all either contrived exercises, or are way over the heads of students that are seeing calculus for the first time (like activities for a computational biology or biological modelling course). The results that are at an appropriate level all seem to center around differential calculus, and especially related rates.
What are some good activities to give to biology students in a one hour discussion section in an integral calculus course? I would appreciate either specific activities or problems, or just good resources for activities. Here are a few good sources I've found so far:
Integration Applications (dead link) by R. Vandiver, although these exercises read like, "here's some biology background, now perform this mildly related calculation just because," which I don't think is very engaging.
Mike Mesterton-Gibbons' Lectures on calculus for life science majors, which I haven't read through too thoroughly yet.