Re: Integrating hyperbolic functions

*To*: mathgroup at yoda.ncsa.uiuc.edu*Subject*: Re: Integrating hyperbolic functions*From*: mcdonald at quark.umd.edu (Bill MacDonald)*Date*: Wed, 21 Nov 90 18:25:44 EST

> > Is there a way to prevent Mathematica to turn a hyperbolic function (e.g. > Cosh) into exponentials? I want to have: > > Integrate[Cosh[x],x] ==> Sinh[x] > > I tried to define an integration rule using Literal on the lhs, but then > when I input "Integrate[Cosh[x],x]", the Cosh is turned into exponentials > and therefore does not match the rule. Is there a Quote in mathematica? > (Hold doesn't quite do the job either.) > > Any suggestion will be appreciated. > > > > > > The only solution I have found to Mathematica's persistence in decomposing hyperbolic functions is to define rules for convverting the sum and difference of exponentials t my own sinh and cosh. It is useful to define the appropriate rules for reducing expressions involving hyperbolic functions, just as TrigReduce do for trigonometric functions. -- William M. MacDonald Professor of Physics University of Maryland Internet: mcdonald at quark.umd.edu Bitnet:mAcdonald at cincom