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# definite integral

noun, Mathematics.
1.
the representation, usually in symbolic form, of the difference in values of a primitive of a given function evaluated at two designated points.
Origin of definite integral
1875-1880
First recorded in 1875-80
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2017.
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Examples from the Web for definite integral
Historical Examples
• The first inquiry leads directly to the indefinite integral, the second directly to the definite integral.

• Integrators serve to evaluate a definite integral ∫ab f(x)dx.

• While an integrator determines the value of a definite integral, hence a Integraphs.

• The instrument now is an integraph giving the value of a definite integral as function of a variable parameter.

British Dictionary definitions for definite integral

## definite integral

noun
1.
(maths)
1. the evaluation of the indefinite integral between two limits, representing the area between the given function and the x-axis between these two values of x
2. the expression for that function, ʃbaf(x)dx, where f(x) is the given function and x = a and x = b are the limits of integration. Where F(x) = ʃf(x)dx, the indefinite integral, ʃbaf(x)dx = F(b)–F(a)
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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definite integral in Science
 definite integral   (děf'ə-nĭt)    The difference between the values of an indefinite integral evaluated at each of two limit points, usually expressed in the form ∫ b/a ƒ(x)dx. The result of performing the integral is a number that represents the area bounded by the curve of ƒ(x) between the limits and the x-axis if f(x) is greater than or equal to zero between the limits.The result of an integration performed on a fixed interval.
The American Heritage® Science Dictionary
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### Difficulty index for definite integral

Few English speakers likely know this word

### Word Value for definite

12
13
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