[Maxima] Can't integrate function

[Richard Fateman]

Soares Guerra wrote:
> hello to all,
>
> i Would like to know why maxima doesn't integrate the following function.
>
> Thanks for your help
>
> a0:2/T*integrate(vi(t),t,-T/2,T/2);
>
> vi(t):=VAaux(t)+vb(t);
>
> VAaux(t):=if t<-T/2 then VAaux(t+T) elseif t<T/2 then va(t) else VAaux(t-T);
>
> vb(t):=1/4*cos(15*%pi*t)-1/8*sin(30*%pi*t);
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>   
Maybe it has to do with computation with ranges of integration, 
conditional expressions,
and the fact that you have not defined va(t).

It seems to me that your expression simplifies to
2/T*integrate(va(t),t,-T/2,T/2)
+
2/T*integrate(vb(t),t,-T/2,T/2).

The second part is easily integrated.