-
process of
finding a derivative.
Antiderivatives are
often denoted by
capital Roman letters such as F and G.
Antiderivatives are
related to
definite integrals...
-
flexibility available in
finding different antiderivatives of the same function. That is, all
antiderivatives are the same up to a constant. To express...
-
elementary functions have
elementary antiderivatives.
Examples of
functions with
nonelementary antiderivatives include: 1 − x 4 {\displaystyle {\sqrt...
- rule or
change of variables, is a
method for
evaluating integrals and
antiderivatives. It is the
counterpart to the
chain rule for differentiation, and can...
- The
integral symbol (see below) is used to
denote integrals and
antiderivatives in mathematics,
especially in calculus. ∫ (Unicode), ∫ {\displaystyle...
- 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...
-
integrable but lack
elementary antiderivatives, and
discontinuous functions can be
integrable but lack any
antiderivatives at all. Conversely, many functions...
- 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...
- 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...
