Re: [Maxima-discuss] Integrating piecewise defined functions

[Andrei Z. <zoa...@gm...>]

Hi, Eduardo!
There was a PW package by Richard Hennessy. It's still available online if
you search, but it's unmaintained and abandoned. The latest version is 6.5.
When I tried to use it, it reported a syntax error which I had to fix
manually; I removed "_funcs" symbol from the list of block variables inside
of 'pwint' function definition. Now it works fine.

As to your example, try
load(pw)$
 f(x) := ''(piecewise( [minf, 0, 0, 1, 1,0, inf], x))$
g(x) := ''(piecewise( [minf, 0, 0, x, 1,0, inf], x))$
pwint(f(t)*g(x-t), t, -2, 2);

Best wishes,
Andrei Zorine

чт, 28 нояб. 2024 г. в 00:59, Eduardo Ochs <edu...@gm...>:

> Hi list,
>
> what is the recommended way to integrate piecewise defined
> functions? I tried this,
>
>   f(x) := if     x<0 then 0
>           elseif x<1 then 1
>           else            0;
>   g(x) := if     x<0 then 0
>           elseif x<1 then x
>           else            0;
>   h(x) := integrate(f(t)*g(x-t), t, -2, +2);
>
> and I couldn't find a way to make Maxima calculate this
> integral...
>
>         integrate(f(x), x, -2, 4);
>   float(integrate(f(x), x, -2, 4));
>
> The convolution left Maxima even more confused, obviously...
> Thanks in advance!
>   Eduardo Ochs
>   http://anggtwu.net/eev-maxima.html
>   http://anggtwu.net/eev-qdraw.html
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