Subject: Integrating csch^2(x) gives an incorrect result
From: Dan
Date: Fri, 24 Jun 2011 23:16:01 +0100 (BST)
On Fri, 24 Jun 2011, Frazer Williams wrote:
> The error occurs when integrating (csch(x))^2.
>
>
> (%i3) integrate((1/sinh(x))^2,x);
> 4
> (%o3) -------------
> - 2 x
> 2 %e - 2
>
> According to a book of tables, the integral should be
>
> -coth x
The two only differ by an additive constant. Maxima doesn't make the
constant of integration in an indefinite integral explicit.