After doing an extra example and out-syllabus talk on approximate integration, I ran out of time for my last example. Attached here please find the lecture notes with 2 extra pages: wk6day13. We covered everything about improper integrals, but the tricky questions will REQUIRE familiarity with properties of most elementary functions, their domains, location of singularities, graphs, basic inequalities relating them, and also rules of limit, including L’Hospital’s rule.
Try to be sober and distinguish the “definite integral” part and “limit” part of an improper integral problem. The former shouldn’t be as hard as the worst questions in Section 7, but the latter could add a wicked twist to the question. No new concepts though.