integrate (someone) with (something)
To blend or merge someone or something with other people or things. Can you please help integrate our new student with the rest of the class? I've integrated your suggestions with the existing curriculum. Do you think Sam will be able to integrate himself with the group? He can be pretty standoffish.
integrate someone with someone
to mix people together; to unify people into one group. The new regional YMCA will help Hispanics integrate with others in our community. They integrated themselves with the people already in attendance.
integrate something with something
to merge things together; to join things into one. I want to integrate the accounting department with the auditing department to save a little money. They integrated your department with mine.