Calculus › Section E · Integrals › Topic E.3
Riemann sums and the definite integral
The strip-summing idea from last topic now gets its official name, its official symbol, and the precise limit that turns estimates into the exact signed area under a curve.
In this topic
- The idea gets a name
- Riemann sums, precisely
- Reading the symbol
- Who is integrable
- Worked example: an area from pure geometry
- Signed area: the axis as an accountant
- The algebraic properties
- Worked example: displacement versus distance
- Common mistakes to avoid
- Key takeaways
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Standards: 6