In article <email@example.com>, G. A. Edgar <firstname.lastname@example.org> wrote:
> In article <email@example.com>, Nasser M. Abbasi > <firstname.lastname@example.org> wrote: > > > Maple 17 > > ---------- > > > > (*can do direct definite integration but gives wrong answer?*) > > z:=arcsin(sqrt(x))/(x^4-2*x^3+2*x^2-x+1); > > r:=int(z,x=0..1): > > evalf(r); > > -.894336814301231-.670856586950946*I > > If you do A := int(z,x): plot(Re(A),x=0..1); > > you will see why Maple gets the wrong answer for this. It has > discontinuities in its antiderivative.
We can do it in Maple with more work ... one discontinuity is between 0.22487 and 0.22488, the other is between 0.77512 and 0.77513 ... so