MATH U101 · Drill · supports Module 1
Polar Pipeline Drill
Full §11.5-style reps — arc lengths that collapse to constants, standard areas, and the set-up moves (loop limits, intersections, csc-lines) that decide every tutorial problem. A fresh randomized sheet every visit.
How to drill
This drill exists because the hard part of §11.5 is not any single step — it's running the whole pipeline without a slip. Work on paper with the recipe from the problem clinic written at the top: formula → simplify r → differentiate → square & add → outer √ → integrate limits. Do all eight, reveal, and for anything missed open "see the method" and name the exact step that broke. One sheet on each study day; when two sheets in a row come back clean, this skill is done.