Hi!
I have a question...I'm working with integral functions:
var('t,x')
f(t)=t^2
F(x)=integral(f,t,0,x)
and obviously:
F(x).derivative() give x^2 as result.
Now the question is: can i have the same result if f doesn't admit a
primitive? I think that when sage "sees" integral(f,t,0,x), tries to
compute a primitive G and then assigns to F the difference between
G(x) and G(0). In this way when i try to calculate the derivative of
F, the result is f.
For example:
var('t,x')
f(t)=t^2
F(x)=integral(sin(t)/t,t,1,x,assume(x>1))
I look at the reference manual and I find a section in which we can
force a funcion to have a rule for the derivation (pag. 252) but I
don't understand how to do this. Sorry for my awful english!
Thank you!
Best regards!
Andrea Gobbi
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