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1.9.26 Area between two curves (A-level only)

Area above the xxx-axis contributes [     ], while area below the xxx-axis contributes negatively to a definite integral.

A

If f(x)≥g(x)f(x)\ge g(x)f(x)≥g(x) throughout [a,b][a,b][a,b], the enclosed area is

A=∫ab(f(x)−g(x)) dx \boxed{A=\int_a^b\left(f(x)-g(x)\right)\,dx} A=∫ab​(f(x)−g(x))dx​

.

B
∫−10(x3−x) dx+∫01(x−x3) dx \int_{-1}^{0}(x^3-x)\,dx+\int_{0}^{1}(x-x^3)\,dx ∫−10​(x3−x)dx+∫01​(x−x3)dx
C

Solve f(x)=g(x)f(x)=g(x)f(x)=g(x).

D

Area above the xxx-axis contributes positively, while area below the xxx-axis contributes negatively to a definite integral.

1.9.26 Area between two curves (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.9.26 Area between two curves (A-level only)

Flashcards for OCR (MEI) A Level Maths 1.9.26 Area between two curves (A-level only), covering the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03. 21 cards, matched to the OCR (MEI) A Level Maths (H640) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.