On Sat, Feb 20, 2010 at 3:29 PM, Dr. David Kirkby
<david.kir...@onetel.net> wrote:
> The test reads like this:
>
> ##############################################
>    Numerical approximation::
>
>        sage: h = integral(sin(x)/x^2, (x, 1, pi/2)); h
>        integrate(sin(x)/x^2, x, 1, 1/2*pi)
>        sage: h.n()
>        0.33944794097891573
> #################################################
>
>
> The test certainly does *not* test Sage's ability to correctly calculate
> that integral. It tests the documentation gives the same answers each, but
> that is not a lot of use of those answers are incorrect. Nobody appears to
> have bothered to evaluate if they are correct or not.

This isn't supposed to test Sage's ability to correctly calculate that
integral.  It's supposed to test the code which calls the numerical
integration routine when you call .n() on an unevaluated integral.

Tests for correctness should be done at a lower level.

--Mike

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