ATARMAxxing · SACE Mathematical Methods revision notes
Upper and lower rectangle sums and the definite integral as area
Subtopic 3.2 The area under curves
What this note covers
- Building an accumulation from rectangles
- The limit of a sum and its notation
- Upper and lower sums use interval extrema
- Signed area versus geometric area
- Reading sampled data and judging an estimate
- Area between two curves uses their vertical separation
- Literal worked extension 1
- Literal worked extension 2
8 sections · 10 key terms & formulas · 6 common mistakes
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