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10 cards from this deck
∫abf(x) dx\int_a^b f(x) \, dx∫abf(x)dx
Net area between curve and xxx-axis over [a,b][a,b][a,b]
Total area under curve above xxx-axis
Negative of area (curve below xxx-axis)
Positive area minus negative area
F(b)−F(a)F(b) - F(a)F(b)−F(a) where F(x)F(x)F(x) is antiderivative
∣∫abf(x) dx∣\left|\int_a^b f(x) \, dx\right|∫abf(x)dx (take absolute value)
∫ab[f(x)−g(x)] dx\int_a^b [f(x) - g(x)] \, dx∫ab[f(x)−g(x)]dx
Integrate sections separately, use absolute values
Magnitude/distance from 000
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