FriCAS also would get it right, except that there is a bug in the
interface, see https://trac.sagemath.org/ticket/25174
If someone can give me a hint on how to send %i instead of I for the
imaginary unit to fricas, I'll fix it...
(1) -> integrate(sin(x)*exp(%i*x),x=-%pi..0)
%i %pi
(1) ------
2
but
sage: integrate(sin(x)*exp(I*x),x,-pi,0,algorithm="fricas")
---------------------------------------------------------------------------
ZeroDivisionError Traceback (most recent call last)
because
sage: fricas.integrate(sin(x)*exp(I*x), x)
I x I x
I %e sin(x) - cos(x)%e
---------------------------
2
I + 1
Martin
Am Montag, 16. April 2018 07:31:36 UTC+2 schrieb Ralf Stephan:
>
> Not Sage, it's Maxima:
> (%i2) integrate(sin(x)*exp(%i*x),x,-%pi,0);
> log(- 1)
> (%o2) -------- + %i %pi
> 2
>
>
>
>
> On Sunday, April 15, 2018 at 6:44:23 PM UTC+2, Eric Gourgoulhon wrote:
>>
>> Hi,
>>
>> Indeed, this seems a bug in Sage.
>> Note that both SymPy and Giac return the correct answer:
>>
>> sage: integrate(sin(x)*exp(I*x), x, -pi, 0)
>> 3/2*I*pi
>> sage: integrate(sin(x)*exp(I*x), x, -pi, 0, algorithm='sympy')
>> 1/2*I*pi
>> sage: integrate(sin(x)*exp(I*x), x, -pi, 0, algorithm='giac')
>> 1/2*I*pi
>>
>> Eric.
>>
>>
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