Re: [Maxima-discuss] definite integration of power series

[Barton W. <wi...@un...>]

My workaround is  manual termwise integrate (extract summand, integrate, ...). Declare
integration to be linear doesn't work--defint thinks all definite integrals of infinite sums
diverge, I think. 

    (%i6) declare(integrate,linear);
    (%o6) done

OK:

    (%i7) integrate(sum(x^k/k!,k,0,inf),x);    
    (%o7) sum(x^(k+1)/((k+1)*k!),k,0,inf)

Bogus error message (integral is convergent for all real z).

    (%i8) integrate(sum(x^k/k!,k,0,inf),x,0,z);
    defint: integral is divergent.


--Barton


________________________________________
From: Robert Dodier <rob...@gm...>
Sent: Tuesday, June 24, 2014 12:51
To: max...@li...
Subject: Re: [Maxima-discuss] definite integration of power series

On 2014-06-24, Barton Willis <wi...@un...> wrote:

> There are, of course, obvious workarounds,

Let's see -- do you mean declaring integrate to be linear or otherwise
encouraging integrate to distribute over sum?

best

Robert Dodier


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