Integrating a Taylor series?



If I enter, say:

define(t(x),taylor(f(x),x,a,10));

where f(x) is a symbolic (that is, undefined) function, I get an expression
full of derivatives, as I should.  How can I integrate this series term by
term?  Does Maxima have any flags or functions which will allow me to
integrate a symbolic derivative?

I *can* do:

define(df(x), diff(f(x),x,4));

and then

integrate(df(x),x,a,a+h);

say, but I can't do this in the context of a Taylor series, when
the derivatives are evaluated at x=a.

Any advice?

Thanks,
Alasdair

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