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10 cards from this deck
It represents the total accumulation of a quantity.
Use the definite integral: ∫abf(x)dx\int_a^b f(x) dx∫abf(x)dx.
The integral gives the total area above the xxx-axis.
It indicates the area below the xxx-axis.
Net area = positive area - negative area.
Identify f(x)f(x)f(x) and the interval [a,b][a, b][a,b].
The Fundamental Theorem of Calculus.
Area = ∫ab(f(x)−g(x))dx\int_a^b (f(x) - g(x)) dx∫ab(f(x)−g(x))dx.
Take the absolute value of the integral.
Area = 222 square units (∫0πsin(x)dx\int_0^\pi \sin(x) dx∫0πsin(x)dx).
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