Random word

How do you use Antiderivative in a sentence? See 10+ example sentences showing how this word appears in different contexts, plus the exact meaning.

Rare word

Antiderivative in a sentence

Related words

Antiderivative | Antiderivatives

Antiderivative meaning

A function whose derivative is a given function; an indefinite integral

Using Antiderivative

  • The main meaning on this page is: A function whose derivative is a given function; an indefinite integral
  • In the example corpus, antiderivative often appears in combinations such as: antiderivative of, the antiderivative, an antiderivative.

Context around Antiderivative

  • Average sentence length in these examples: 22.7 words
  • Position in the sentence: 4 start, 5 middle, 1 end
  • Sentence types: 10 statements, 0 questions, 0 exclamations

Sentence patterns with Antiderivative

These short patterns come directly from the example sentences and show how the word is often embedded:

compute an antiderivative than to 1× derivative and antiderivative the graph 1× down its antiderivative 1× express the antiderivative of a 1× find an antiderivative for a 1× find an antiderivative in terms 1× find an antiderivative of f 1× integral or antiderivative is written 1×

Sentence openings and endings

Common sentence openings:

consequently computerized algebra 1× derivative and antiderivative 1× for some elementary 1× it is rarely 1× the indefinite integral 1× the risch algorithm 1×

Common sentence endings:

a differential equation 1× by a constant 1× computing definite integrals 1× constructed elementary function 1× down its antiderivative 1× of f coincide 1×

Words around Antiderivative

Just before it in the word index:

antidepressants 131 antidepressant 66 antidemocratic 6 anticyclonic 3 anticyclones 4 anticyclone 3

Just after it in the word index:

antiderivatives 6 antideuterium 2 antidiscrimination 2 antidisestablishmentarianism 2 antidiuretic 4 antidoping 8

Similar in corpus frequency:

aanholt 13 aardwolf 13 abati 13 abbeville 13 abcc 13 abelard 13

Corpus analysis for Antiderivative

  • In this selection, "antiderivative" usually appears in the middle of the sentence. The average example has 22.7 words, and this corpus slice is mostly made up of statements.
  • Recognizable usage signals include compute an antiderivative than to and derivative and antiderivative the graph. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "antiderivative" sits close to words such as aanholt, aardwolf and abati, which helps place it inside the broader word index.

Example types with antiderivative

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

It is rarely possible to glance at a function and write down its antiderivative. (14 words)

Then, find an antiderivative of f ; that is, a function F such that on the interval. (16 words)

For some elementary functions, it is impossible to find an antiderivative in terms of other elementary functions. (17 words)

Longer example sentences

The indefinite integral, or antiderivative, is written: : Functions differing by only a constant have the same derivative, and it can be shown that the antiderivative of a given function is actually a family of functions differing only by a constant. (40 words)

Because it is usually easier to compute an antiderivative than to apply the definition of a definite integral, the fundamental theorem of calculus provides a practical way of computing definite integrals. (31 words)

The Risch algorithm provides a general criterion to determine whether the antiderivative of an elementary function is elementary, and, if it is, to compute it. (25 words)

Example sentences (10)

The indefinite integral, or antiderivative, is written: : Functions differing by only a constant have the same derivative, and it can be shown that the antiderivative of a given function is actually a family of functions differing only by a constant.

Because it is usually easier to compute an antiderivative than to apply the definition of a definite integral, the fundamental theorem of calculus provides a practical way of computing definite integrals.

Consequently, computerized algebra systems have no hope of being able to find an antiderivative for a randomly constructed elementary function.

Derivative and antiderivative The graph of the natural logarithm (green) and its tangent at (black) Analytic properties of functions pass to their inverses.

For some elementary functions, it is impossible to find an antiderivative in terms of other elementary functions.

If g is the antiderivative of f : : then the Laplace–Stieltjes transform of g and the Laplace transform of f coincide.

It is rarely possible to glance at a function and write down its antiderivative.

Then, find an antiderivative of f ; that is, a function F such that on the interval.

The Risch algorithm provides a general criterion to determine whether the antiderivative of an elementary function is elementary, and, if it is, to compute it.

This provides an algorithm to express the antiderivative of a D-finite function as the solution of a differential equation.

Common combinations with antiderivative

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "antiderivative" in a sentence?
An example: "The indefinite integral, or antiderivative, is written: : Functions differing by only a constant have the same derivative, and it can be shown that the antiderivative of a given function is actually a family of functions differing only by a constant." This page contains 10+ example sentences with the word "antiderivative" from authentic English texts.
What does "antiderivative" mean?
Antiderivative means: A function whose derivative is a given function; an indefinite integral
How many example sentences with "antiderivative" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "antiderivative", drawn from a database of millions of English sentences.