Definitions for indefinite integral
in·def·i·nite in·te·gral

Princeton's WordNetRate this definition:0.0 / 0 votes

1. indefinite integralnoun

   the set of functions F(x) + C, where C is any real number, such that F(x) is the integral of f(x)

WiktionaryRate this definition:0.0 / 0 votes

1. indefinite integralnoun

   A function whose derivative is a given function; an antiderivative

WikipediaRate this definition:0.0 / 0 votes

1. indefinite integral

   In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a function f is a differentiable function F whose derivative is equal to the original function f. This can be stated symbolically as F' = f. The process of solving for antiderivatives is called antidifferentiation (or indefinite integration), and its opposite operation is called differentiation, which is the process of finding a derivative. Antiderivatives are often denoted by capital Roman letters such as F and G. Antiderivatives are related to definite integrals through the second fundamental theorem of calculus: the definite integral of a function over a closed interval where the function is Riemann integrable is equal to the difference between the values of an antiderivative evaluated at the endpoints of the interval. In physics, antiderivatives arise in the context of rectilinear motion (e.g., in explaining the relationship between position, velocity and acceleration). The discrete equivalent of the notion of antiderivative is antidifference.

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1. indefinite integral

   The indefinite integral, also known as the anti-derivative, is essentially the reverse process of differentiation. It represents the family of functions F(x) whose derivative is a given function f(x). It is typically written in the form ∫f(x) dx and includes an arbitrary constant C, because a constant has a derivative of zero and would not alter the derivative of the original function.

Matched Categories

1. • Integral

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Numerology

1. Chaldean Numerology

   The numerical value of indefinite integral in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of indefinite integral in Pythagorean Numerology is: 1

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=indefinite integral
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Indefinite_Integral
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Indefinite_Integral
4. ^ ChatGPT
   https://chat.openai.com