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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