Calculus › Section E · Integrals › Topic E.2
Area and sigma notation
How do you find the area of a region with a curved edge? Slice it into thin rectangles, add their areas, and let the slices get infinitely thin. Sigma notation is the bookkeeping that makes the limit computable.
In this topic
- Two problems, one strategy
- Building the rectangles
- Worked example: bracketing the area under x²
- Why the bracketing works
- Sigma notation
- The power-sum formulas
- Worked example: exact area as a limit
- What the limit buys
- Areas in the field
- Common mistakes to avoid
- Key takeaways
This topic is part of Wuanberri Pro. Checking your access…
Standards: 6