integrate returns undefined .. Bug in zero denominator?

Never mind.  I give up.  I will never be a good mathematician.  I make to 
many mistakes.  Just ignore this.  This does not help in this case at all.

Sorry,

Rich

----- Original Message ----- 
From: "Richard Hennessy" <rvh2007 at comcast.net>
To: "Maxima List" <maxima at math.utexas.edu>; <pdl at johnlapeyre.com>
Sent: Friday, September 12, 2008 12:45 PM
Subject: Re: [Maxima] integrate returns undefined .. Bug in zero 
denominator?


> The fundamental theorem of integral caculus can be extented to this 
> slightly
> stronger statement under the right conditions (which apply in this case).
>
> integrate(f(x),x,a,b) = limit(F(x),x,b) - limit(F(x),x,a)
>
> diff(F(X),x) = f(x)
>
> Then solving it this way could be a solution to the integrate bug.
>
> Rich
>
>
>
>
> ----- Original Message ----- 
> From: "John Lapeyre" <pdl at johnlapeyre.com>
> To: <maxima at math.utexas.edu>
> Sent: Wednesday, September 10, 2008 4:53 PM
> Subject: Re: [Maxima] integrate returns undefined .. Bug in zero
> denominator?
>
>
>> This is not too pretty, but it seems to remove some bad
>> solutions. For simplicity, it assumes the eqn is of the form
>> someexpr = 0.  It checks some solutions of univariate
>> equations.  Multivariate cases and some complicated cases
>> are supposed to fall through. It also assumes that if
>> limit() returns a number, it is more reliable than when
>> solve() returns a solution!
>>
>> mysolve(sin(x-y)/(x-y),x);
>>
>> `solve' is using arc-trig functions to get a solution.
>> Some solutions will be lost.
>> (%o5) []
>>
>> ------------
>> removebadsolns(expr,solns,var) := block( [s,var1,lim],
>>    for s in solns do (
>>    var1:inpart(s,1),
>>    if mapatom(var1) and var1 = var then (
>>      lim:limit(expr,var,inpart(s,2)),
>>      if numberp(lim) and lim # 0 then
>>        solns:delete(s,solns))),
>>     solns);
>>
>> mysolve(expr,var) := block([solns],
>>  solns:solve(expr,var),
>>  if not listp(var) then
>>     solns:removebadsolns(expr,solns,var) else solns);
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