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
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