Definition of Antiderivatives. Meaning of Antiderivatives. Synonyms of Antiderivatives

- process of finding a derivative. Antiderivatives are often denoted by capital Roman letters such as F and G. Antiderivatives are related to definite integrals...
- elementary functions have elementary antiderivatives. Examples of functions with nonelementary antiderivatives include: 1 − x 4 {\displaystyle {\sqrt...
- flexibility available in finding different antiderivatives of the same function. That is, all antiderivatives are the same up to a constant. To express...
- integrable but lack elementary antiderivatives, and discontinuous functions can be integrable but lack any antiderivatives at all. Conversely, many functions...
- is an antiderivative of the zero function. If U {\displaystyle U} is a connected set, then the constant functions are the only antiderivatives of the...
- {\displaystyle \displaystyle \int } (LaTeX) is used to denote integrals and antiderivatives in mathematics, especially in calculus. The notation was introduced...
- places an important restriction on antiderivatives that can be expressed as elementary functions. The antiderivatives of certain elementary functions cannot...
- used for antiderivatives in the same way that Lagrange's notation is as follows D − 1 f ( x ) {\displaystyle D^{-1}f(x)} for a first antiderivative, D − 2...
- have closed-form antiderivatives. A simple example of a function without a closed-form antiderivative is e−x2, whose antiderivative is (up to constants)...
- expressions of antiderivatives are the exception, and consequently, computerized algebra systems have no hope of being able to find an antiderivative for a randomly...