Package tools.integration

Class StageOne

Object
StageOne
public class StageOne
extends Object
The StageOne class attempts to integrate a function using a method very similar to Stage One of the integration procedure used in SIN. Firstly, the program performs simplifications and slight modifications to the integrand. The integrand is simplified using MiscTools.minimalSimplify(GeneralFunction). If the integral is an instance of PartialDerivative and Transformation.respectTo is the same as the variable that is being integrated with respect to, the program returns UnitaryFunction.operand. Otherwise it executes the PartialDerivative. If the integrand is a Sum, then the integral is distributed to each term in the Sum and returned as a Sum of Integrals. The final simplification expands Sums to integer Constant powers. After these steps, a standard "derivative divides" integration technique is used. The programs check if the integrand is of the form C*op(u(x))*u'(x). If the integrand matches this form, the program returns C*OP(u(x)), where OP is the integral of op(x) dx.

  • Method Summary

    Modifier and Type Method Description
    static GeneralFunction derivativeDivides​(GeneralFunction integrand, String variableString)
    Performs the "derivative divides" method of integration and returns the integral if the method succeeded

    Methods inherited from class Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait