Re: [Maxima-discuss] Introducing definitions for integrals

[Michel T. <ta...@lp...>]

(%i1) declare(integrate,linear);
(%o1)                                done
(%i2) integrate(a(x)+b(x),x);
                              /           /
                              [           [
(%o2)                        I b(x) dx + I a(x) dx
                              ]           ]
                              /           /
(%i3)
(%i3) subst(A, 'integrate(a(x),x),%);
                                  /
                                  [
(%o3)                            I b(x) dx + A
                                  ]
                                  /
(%i4)


Le 05/12/2022 à 07:52, J. Milgram a écrit :
>
>
> Greetings all.
>
> Simple question but I'm stumped. I'm integrating a sum of undefined 
> functions:
>
> integrate(a(x)+b(x),x);
>
> I get the noun form of the integral:
>
> (%i17) integrate(a(x)+b(x),x);
>                               /
>                               [
> (%o17)                        I (b(x) + a(x)) dx
>                               ]
>                               /
>
>
> So far so good.
>
> Now I want to introduce definitions for the integrals: 
> integrate(b(x),x) == B, and integrate(a(x),x) == A.
>
> How do I do this, and end up simply with    A + B ?
>
> Part of this might be breaking up the integral of the sum into a sum 
> of integrals. Then I'm pretty sure I can do
>
> subst(A,'integrate(a(x),x),%);
>
> and then same for B.
>
> thanks for any ideas and apologies if this is in the manual. I 
> couldn't find it.
>
> Judah
>
>
-- 
Michel Talon