Board Thread:Naruto Discussions/@comment-24048522-20191229052502/@comment-38812954-20200102133733

Integrate has more than one definition. Check google's second definition. Kaguya made the ten tails (As she willed into existence from the god tree) have the same goal as her.

Just like how zetsu (Also her will incarnate) was given a goal

(Hope I make sense. The definition can also be interpreted like that to an extent)