Content atlas · skill

Interpret definite integrals as accumulation and signed area

The learner can interpret definite integrals as accumulation and signed area. This capability is distinct from mere exposure to or isolated use of limits; area; functions.

2 published problems

1. Action Between Frames — Test a motion score against better and better camera measurements, repair it, and watch a sum turn into an integral.
2. One Knob, Infinitely Many Histories — Turn one parameter to bend an entire motion, reduce infinitely many histories to one action function, and find where that action is stationary.