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10 cards from this deck
It calculates the area under a curve over a specific interval.
It's denoted as ∫abf(x)dx\int_a^b f(x) dx∫abf(x)dx.
It represents the area between the curve and xxx-axis.
It yields a specific numerical value representing net area.
It links the process of differentiation and integration.
It represents the net area from x=ax = ax=a to x=bx = bx=b.
The integral of the absolute value of f(x)f(x)f(x) indicates total area.
∫ab[f(x)+g(x)]dx=∫abf(x)dx+∫abg(x)dx\int_a^b [f(x) + g(x)] dx = \int_a^b f(x) dx + \int_a^b g(x) dx∫ab[f(x)+g(x)]dx=∫abf(x)dx+∫abg(x)dx.
Use limits as bounds approach infinity or discontinuities.
Definite integrals are used to find area under curves.
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