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Topic: hard integral
Replies: 8   Last Post: Feb 23, 2014 2:18 PM

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G. A. Edgar

Posts: 2,505
Registered: 12/8/04
Re: hard integral
Posted: Feb 21, 2014 8:21 AM
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In article <le77hs$7ep$1@speranza.aioe.org>, Nasser M. Abbasi
<nma@12000.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.

G. A. Edgar http://www.math.ohio-state.edu/~edgar/

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