[Q] How to get a float in this case?



you can use expand, I think. That is, ev(%,numer,expand).
or ev(%,numer,rectform).
   There is a numerical integration
program which you might consider, that does not
require that the integral be computable in closed
form, romberg, or bromberg for bigfloats. This does
not try to guess at all kinds of things like Mathematica.
There is also another integration program around,
Quanc8 or some such thing. 
Presumably these can be given difficult integrands
and they will do whatever numerical things these
programs can do.
 Several papers by me, Keith Geddes, James Davenport,
and Daniel Lichtblau (perhaps others) describe how
to do tricks with symbolic+numeric integration. These
are not in xmaxima now, as far as I know.
RJF

Vladimir Bondarenko wrote:

>Good Day,
>
>If I use   EV(INTEGRATE(COTH(1-6*Z), Z, 0, 1), NUMER);
>the result is a float,
>
>           0.5235987755983 %I - 0.69089467615141
>
>However, if a bit different is used
>
>           int:INTEGRATE(COTH(1-6*Z), Z, 0, 1)$
>           EV(int, NUMER);
>
>the result turns out to be
>
>           0.16666666666667 (3.141592653589793 %I +
>           0.1614393615712)- 0.71780123641328
>
>What should I use instead of  EV(int, NUMER);
>to approximate int to 0.5235987755983 %I - 0.69089467615141 ?
>
>Thank you in advance for any comments!
>
>
>Best wishes,
>
>Vladimir Bondarenko
>
>http://www.cybertester.com/
>http://maple.bug-list.org/
>http://www.CAS-testing.org/
>
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>