On 1/20/20 5:44 AM, 'Martin R' via FriCAS - computer algebra system wrote:
> Actually, this is a proper bug in FriCAS, because the translation of
> your integral is
> 
> integrate((%i*a*tan(d*x + c) + a)*sec(d*x + c)^10, x)
> 
> (note the "%i" instead of "I", which is FriCAS' complex unity, "I" is
> just any other variable for FriCAS)

Seems fixed in SVN repo? Though I'm not sure which commit fixed it.

(1) -> integrate((%i*a*tan(d*x + c) + a)*sec(d*x + c)^10, x)

   (1)
                     %i d x + %i c 10                 %i d x + %i c 8
       64512 %i a (%e             )   + 53760 %i a (%e             )
     +
                     %i d x + %i c 6                 %i d x + %i c 4
       30720 %i a (%e             )  + 11520 %i a (%e             )
     +
                    %i d x + %i c 2
       2560 %i a (%e             )  + 256 %i a
  /
                %i d x + %i c 20             %i d x + %i c 18
       315 d (%e             )   + 3150 d (%e             )
     +
                  %i d x + %i c 16              %i d x + %i c 14
       14175 d (%e             )   + 37800 d (%e             )
     +
                  %i d x + %i c 12              %i d x + %i c 10
       66150 d (%e             )   + 79380 d (%e             )
     +
                  %i d x + %i c 8              %i d x + %i c 6
       66150 d (%e             )  + 37800 d (%e             )
     +
                  %i d x + %i c 4             %i d x + %i c 2
       14175 d (%e             )  + 3150 d (%e             )  + 315 d
                                Type:
Union(Expression(Complex(Integer)),...)

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