ElementaryIntegrationBernoulli

java.lang.Object
- edu.jas.integrate.ElementaryIntegration<C>
- - edu.jas.integrate.ElementaryIntegrationBernoulli<C>

Type Parameters:

C - coefficient type
```
public class ElementaryIntegrationBernoulli<C extends GcdRingElem<C>>
extends ElementaryIntegration<C>
```
Methods related to the Bernoulli algorithm for elementary integration. The denominator is factored into linear factors over iterated algebraic extensions over the rational numbers.

Author:

Heinz Kredel

Field Summary
- Fields inherited from class edu.jas.integrate.ElementaryIntegration
  irr, irredLogPart, sqf, ufd

Constructor Summary

Constructors
Constructor Description

ElementaryIntegrationBernoulli(RingFactory<C> br)
Constructor.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`LogIntegral<C>`	`integrateLogPart(GenPolynomial<C> A, GenPolynomial<C> P)`	Univariate GenPolynomial integration of the logarithmic part, Bernoulli linear factorization algorithm.

Methods inherited from class edu.jas.integrate.ElementaryIntegration
derivative, integrate, integrate, integrateHermite, integrateLogPartPrepare, isIntegral, isIntegral

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
  - ElementaryIntegrationBernoulli
```
public ElementaryIntegrationBernoulli(RingFactory<C> br)
```
    Constructor.
- Method Detail
  - integrateLogPart
```
public LogIntegral<C> integrateLogPart(GenPolynomial<C> A,
                                       GenPolynomial<C> P)
```
    Univariate GenPolynomial integration of the logarithmic part, Bernoulli linear factorization algorithm.
    
    Overrides:
    
    integrateLogPart in class ElementaryIntegration<C extends GcdRingElem<C>>
    
    Parameters:
    
    A - univariate GenPolynomial, deg(A) < deg(P).
    
    P - univariate squarefree or irreducible GenPolynomial. // gcd(A,P) == 1 automatic
    
    Returns:
    
    logarithmic part container.