Calculus › Section H · Applications of integrals › Topic H.1
Area between two curves
You already know how to find the area under a curve. The area between two curves is the same idea one layer up, and the real work is not the integration but deciding which curve is on top and where the region starts and ends.
In this topic
- From one curve to two
- Sketch first, then find the intersections
- Worked example: a line and a parabola
- When the curves cross
- Worked example: x against x³
- Slicing the other way
- Worked example: a region best sliced horizontally
- Area as an accumulated difference
- Common mistakes to avoid
- Key takeaways
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Standards: 8