On Tue, Aug 18, 2009 at 11:17 PM, Robert Dodier<[email protected]> wrote:
>
> William Stein wrote:
>
>> Unless you can give a explanation of what you want integrating wrt x^2
>> to mean, I think we should also raise an error in Sage.
>
> That would be unfortunate. Faced with some unrecognized construct,
> the mathematical thing to do is to just leave it be. Whether it's
> meaningful is for the user to decide. You don't know what
> integrate(f(x), g(x)) means. Why not let someone else come
> up with an interpretation? Why must you close that door?

Is there any other interpretation besides:

int f(x)  d g(x)  = int f(x) * dg/dx    dx

? Example used in physics:

int P(cos(x)) sin(x) dx = int P(cos(x)) dcos(x)

where P is a Legendre polynomial.

Ondrej

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