Area between curves
What Area between curves means in Mathematics A-Level, as defined for AQA, Pearson Edexcel, WJEC.
Definitions of Area between curves
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Reference: WJEC
Found by integrating the difference between the upper curve and the lower curve, ensuring the integrand is always (upper curve) − (lower curve).
For y = f(x) and y = g(x) from x = a to x = b, integrate upper minus lower: ∫(f(x) − g(x)) dx.
The positive integral of the vertical or horizontal separation of two graphs over the interval where the region is bounded.
Topics that use Area between curves
- H: Integration (AQA A-Level)
- Integration (Pearson Edexcel A-Level)
- Integration (A2 Unit 3: Pure Mathematics B) (WJEC A-Level)
Related terms
- Definite integral
- Integration by parts
- Integration by substitution
- Antiderivative
- Area under a curve
- Fundamental Theorem of Calculus
- limit of a sum
- separable variables
Using Area between curves in the exam
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