Lesson 23 of 48
Integration and the fundamental theorem
Accumulation, and its startling link back to slope.
Area and slope look like unrelated questions, and the fundamental theorem says they are inverses. Probability densities at lesson 38 depend on this being second nature.
Do this
Compute the area under a curve two ways: numerically by summing thin rectangles in code, and exactly by finding an antiderivative. Show the numerical answer converges to the exact one.
The question that unlocks the next lesson
What does the fundamental theorem of calculus connect?
- ALimits and continuity
- BDifferentiation and integration — they undo each other
- CArea and perimeter
- DSeries and sequences