On 15 August 2016 at 19:54, Waldek Hebisch <[email protected]> wrote:
> Bill Page wrote:
>>
>> Still, if the limits on the lower and upper boundaries are from right
>> and left, respectively, then I do not know why the definite integral
>> fails. Doesn't FriCAS also try indefinite integration and then try to
>> apply these limits?
>
> The whole limit at 0 fails:
>
> (1) -> ss := integrate(x*sin(1/x), x)
>
> 2 1 1 1
> x sin(-) + x cos(-) + Si(-)
> x x x
> (1) ---------------------------
> 2
> Type: Union(Expression(Integer),...)
> (2) -> limit(ss, x=0, "right")
>
> (2) "failed"
> Type: Union("failed",...)
>
Oh, that's odd since
(3) -> reduce(+,[limit(s,x=0,"left") for s in isPlus(numerator
ss)])/denominator(ss)
%pi
(3) - ---
4
Type: Expression(Integer)
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