Well,
In macsyma there is another integrator to deal with transcendental functions
(C1) risch(3^log(x),x);
LOG(3) LOG(x)
x %E
(D1) -----------------
LOG(3) + 1
So, it's correct. However differentiation gives a delta
(C2) diff(%);
LOG(3) LOG(x) LOG(3) LOG(x)
LOG(3) %E %E
(D2) (---------------------- + ---------------) DEL(x)
LOG(3) + 1 LOG(3) + 1
(C3) factor(%);
LOG(3) LOG(x)
(D3) %E DEL(x)
Valerij
On Fri, 5 Apr 2002 12:36:22 -0800 (PST)
C Y <smustudent1@yahoo.com> wrote:
> I've run into a problem with the Maxima integration ability. I tried
> to integrate 3^log(x), and according to both hand and mathematica
> calculations the answer should be (x*3^log(x))/(1+log(3)). Maxima,
> however, gives 3^(2*log(x))/(2*log(3)). Here is a simple test to show
> the problem:
>
> (C1) c:3^log(x);
>
> LOG(x)
> (D1) 3
> (C2) diff(integrate(c,x),x);
>
> 2 LOG(x)
> 3
> (D2) ---------
> x
>
>
> CY