I think there is a problem with an Integral in Maxima:
(%i3) integrate(1/(x*sqrt(x^n-a^n)),x);
Is a positive or negative?p;
(%o3) (2*atan(sqrt(x^n-a^n)/a^(n/2)))/(a^(n/2)*n)
(%i4) integrate(1/(x*sqrt(x^n-a^n)),x);
Is a positive or negative?n;
(%o4)
log((2*sqrt(x^n-a^n)-2*sqrt(-a^n))/(2*sqrt(x^n-a^n)+2*sqrt(-a^n)))/(sqrt(-a^n)*n)
My copy of Schaums (1968, printing 4) shows
14:334:
int(1/(x*sqrt(x^n-a^n)),x) == 2/(n*sqrt(a^n))*acos(sqrt(a^n/x^n))
Would someone here in Maxima please check this out.
From my beginners view point it looks wrong.
Doug
-------------- next part --------------
An embedded message was scrubbed...
From: Doug Stewart <dastew at sympatico.ca>
Subject: Re: [Axiom-developer] Schaums help
Date: Fri, 02 May 2008 23:33:40 -0400
Size: 5741
Url: http://www.math.utexas.edu/pipermail/maxima/attachments/20080503/30d87883/attachment.eml