Interface IntegrableFunction<D,C>

All Superinterfaces:

Function<D,C>, Function<D,C>, Relation<D,C>

All Known Subinterfaces:

RealFunction

All Known Implementing Classes:

PolynomialFunction

public interface IntegrableFunction<D,C>
extends Function<D,C>

Represents an integrable function.

A function that can be integrated over its domain.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
Function<D,C>	integrate()	Returns the indefinite integral (antiderivative) of this function.
C	integrate(D start, D end)	Calculates the definite integral from start to end.

Methods inherited from interface Function

compose

Methods inherited from interface Function

andThen, apply, compose, contains, evaluate, evaluate, getBackend, isContinuous, isDifferentiable, setBackend

Methods inherited from interface Relation

getCodomain, getDomain

Method Details

integrate

Function<D,C> integrate()

Returns the indefinite integral (antiderivative) of this function.

Returns:

F such that F' = f

integrate

C integrate(D start,
 D end)

Calculates the definite integral from start to end.

Parameters:

start - lower bound

end - upper bound

Returns:

integral_{start}^{end} f(x) dx