Nasser found the following interesting bug at 
https://trac.sagemath.org/ticket/25905:

(1) -> f := (I*a*tan(d*x + c) + a)^3*tan(d*x + c)

   (1)
      3 3            4      2 3            3        3            2
     I a tan(d x + c)  + 3 I a tan(d x + c)  + 3 I a tan(d x + c)
   + 
      3
     a tan(d x + c)
                                                    Type: 
Expression(Integer)
(2) -> F := integrate(f, x)

   (2)
           2      3            1               3 3            3
       (9 I  - 3)a log(-----------------) + 2 I a tan(d x + c)
                                   2
                       tan(d x + c)  + 1
     + 
          2 3            2         3         3                   3         3
       9 I a tan(d x + c)  + (- 6 I  + 18 I)a tan(d x + c) + (6 I  - 18 I)a 
d x
  /
     6 d
                                         Type: 
Union(Expression(Integer),...)
(3) -> D(eval(F, I =%i), x)-eval(f, I=%i)

   (3)  0
                                           Type: 
Expression(Complex(Integer))
(4) -> F := integrate(eval(f, I=%i), x)
 
   >> System error:
   arithmetic error DIVISION-BY-ZERO signalled
Operation was (/ -2 0).

Any ideas?

Martin


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