On Thursday, August 27, 2015 at 10:10:39 AM UTC-7, Gregory Bard wrote:

> Maxima thinks that the answer is instead zero. (Or more correctly, the 
> particular configuration and version of Maxima built into Sage thinks the 
> answer is zero.)
>

It seems "domain: complex" causes the problem.

 (%i1) display2d:false;

(%o1) false
(%i2)  integrate(sqrt(cot(x)^2),x);

(%o2) 'integrate(abs(cot(x)),x)
(%i3) domain:complex;

(%o3) complex
(%i4)  integrate(sqrt(cot(x)^2),x);

(%o4) log(tan(x))-log(tan(x)^2+1)/2

This may be worth reporting to Maxima.

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