The definite integral of a function between two points provides the net area under the curve from one point to the other. It is represented by the integral symbol with upper and lower limits.
5 Must Know Facts For Your Next Test
The definite integral from $a$ to $b$ of a function $f(x)$ is denoted as $$\int_{a}^{b} f(x) \, dx$$
The Fundamental Theorem of Calculus links the definite integral to the antiderivative of a function.
The definite integral can be interpreted as the total accumulation of quantities, such as area, volume, or other physical quantities.
If $f(x)$ is continuous on $[a, b]$, then the definite integral exists and can be calculated exactly.
Properties of definite integrals include linearity, additivity over adjacent intervals, and the effect of reversing limits.
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Related terms
Indefinite Integral: An integral without specified limits which represents a family of functions differing by a constant.