Originally reported at http://ask.sagemath.org/question/2027/why-does-this-not-integrate

Maxima 5.28.0 http://maxima.sourceforge.net

using Lisp SBCL 1.0.55.0-abb03f9

Distributed under the GNU Public License. See the file COPYING.

Dedicated to the memory of William Schelter.

The function bug_report() provides bug reporting information.

(%i1) display2d:false;

(%o1) false

(%i2) assume(n>0);

(%o2) [n > 0]

(%i3) integrate(1/sqrt(1+x^2*n),x,1,2);

(%o3) asinh(2*sqrt(n))/sqrt(n)-asinh(sqrt(n))/sqrt(n)

(%i4) integrate(1/sqrt(1+x^2/n),x,1,2);

(%o4) 'integrate(1/sqrt(x^2/n+1),x,1,2)

But shouldn't these really be the same if n is a constant? Maybe we're missing something.