| 单词 | indefinite integral |
| 例句 | Since the indefinite integral of a vector-valued function involves indefinite integrals of the component functions, each of these component integrals contains an integration constant. Calculus, Volume 3 2016-03-30T00:00:00Z For the following exercises, find the definite or indefinite integral. Calculus, Vol 2 2016-03-30T00:00:00Z Note that we are verifying an indefinite integral for a sum. Calculus, Volume 1 2016-03-30T00:00:00Z The first inquiry leads directly to the indefinite integral, the second directly to the definite integral. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z It will therefore allow of registering a set of values of ∫ax ydx for any values of x, and thus of tabulating the values of any indefinite integral. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 "Bulgaria" to "Calgary" However, close attention should always be paid to notation so we know whether we’re working with a definite integral or an indefinite integral. Calculus, Volume 1 2016-03-30T00:00:00Z Evaluating the derivative and indefinite integral in this way is called term-by-term differentiation of a power series and term-by-term integration of a power series, respectively. Calculus, Vol 2 2016-03-30T00:00:00Z Note that we are verifying an indefinite integral for a product. Calculus, Volume 1 2016-03-30T00:00:00Z An indefinite integral represents a family of functions, all of which differ by a constant. Calculus, Volume 1 2016-03-30T00:00:00Z While an integrator determines the value of a definite integral, hence a Integraphs. mere constant, an integraph gives the value of an indefinite integral, which is a function of x. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 4 "Bulgaria" to "Calgary" However, until these concepts are cemented in your mind, think carefully about whether you need a definite integral or an indefinite integral and make sure you are using the proper notation based on your choice. Calculus, Volume 1 2016-03-30T00:00:00Z Similarly, we can evaluate the indefinite integral by integrating each term separately. Calculus, Vol 2 2016-03-30T00:00:00Z An indefinite integral is a family of functions. Calculus, Volume 1 2016-03-30T00:00:00Z In the following exercises, use a suitable change of variables to determine the indefinite integral. Calculus, Volume 1 2016-03-30T00:00:00Z |
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