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definite integral::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Type of | integral |
Examples of definite integral
definite integral
For a definite integral, one must figure out how the bounds of integration change.
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In modern calculus, the same area could be found using a definite integral.
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This representation is also equivalent to a definite integral by a rotation in the complex plane.
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Numerical integration, in some instances also known as numerical quadrature, asks for the value of a definite integral.
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The technical definition of the definite integral is the limit of a sum of areas of rectangles, called a Riemann sum.
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The former definition would make such concepts as the trapezoidal approximation to a definite integral ill-defined.
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The definite integral inputs a function and outputs a number, which gives the area between the graph of the input and the x-axis.
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Such an integral is often written symbolically just like a standard definite integral, perhaps with infinity as a limit of integration.
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Integral calculus is the study of the definitions, properties, and applications of two related concepts, the indefinite integral and the definite integral.
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