i just found sympy and it looks incredible.
i have an error, which might be my mistake (either mathematically, or
programatically) but i am getting unexpected behavoir on an integral.
here is my code
x = Symbol('x')
m = Symbol('m', integer=True)
g = sin(pi*x/a)
gg = sin(pi*m*x/a)
Integral(g*gg,(x,0,a)) # this looks correct
Integral(g*gg,(x,0,a)).subs({m:1}) # this looks correct
Integral(g*gg,(x,0,a)).subs({m:1}).doit() #this looks correct
Integral(g*gg,(x,0,a)).doit() # i get 0, why? where did dependence
on m go?
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