Card 1 of 21
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.
Card 1 of 21
1.9.26 Area between two curves (A-level only) Flashcards
21 flashcards on OCR (MEI) A Level Maths 1.9.26 Area between two curves (A-level only): the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03.