| 单词 | integral |
| 释义 | integral A function whose first derivative is equal to another function. If f(x) is the first derivative of g(x), then g(x) is an integral of f(x), and so is h(x) = g(x) + k, where k is an arbitrary constant, known as the constant of integration. The indefinite integral of f(x) is written [int]f(x)dx = g(x) + k. The definite integral is the indefinite integral evaluated over some range of x, from x = a to x = b, written [int]a b f(x)dx = g(b) - g(a). If f(x) is represented as a curve, its definite integral from a to b equals the area under the curve between a and b. While many functions have integrals which are easily calculated, some functions, for example that of the normal distribution, do not have indefinite integrals; their definite integrals have to be approximated by numerical methods. See also: definite integral, and indefinite integral |
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