chapter  10
19 Pages

Numerical integration

Inengineeringthereareoftensituationswherethefunctionsthat havetobeintegratedareonlyspecifiedbyasetofvalues.This mightbe,forexample,inthecomputationoftheworkdoneasthe integralofFdxwhenaforceFmovesitspointofapplication throughadistancex,theforce-distancevalueshavingbeen obtainedexperimentally.Insuchcasesnumericalintegrationcan beused.AlsotherearesomefunctionswhichdefYtheusual methodsofintegration,therebeingnoelementaryfunctionwhich hasthefunctionastheirderivative.Forexample,thereareno functionswhichhavethefollowingastheirderivatives:

- 1-sinr.2Q!!:b-x3 lnx''x'

Numericalintegrationmethodscanbeused,howevercomplexa functionis.