Below is the only known reference to the Law of Integration in the writings of Alice A. Bailey (AAB) and Djwhal Khul (DK). Links on these pages of the Laws of Alice A. Bailey are to the online books at the Lucis Trust website.
For a discussion of what AAB means by a “law” please see Alice A. Bailey – What is a Law?
Again, so the ancient Archives tell us, there came a great crisis in the evolution of humanity; this necessitated one of the rare cyclic changes which have distinguished the fluid policy of the Hierarchy. Men began to demonstrate responsiveness to the Law of Integration and personality appeared with all its potentiality for good and evil. Man became an integrated unit in the three worlds. A great possibility then emerged; man could, through training and the use of the mind, make contact with the soul.
“Soul contact” or “contact with the soul” is an important aspect in AAB’s writings on one becoming a fully integrated personality – you can see this in the one quote above on the Law of Integration.
Some example of “integration” and “soul contact”:
“Disciples evoke from us who are the teachers upon the inner side of life many and diverse reactions. We look at some of you and feel that much time must elapse before we can fully trust you with our confidence; integration, wisdom and soul contact must first be induced.” -Discipleship in the New Age, Vol. I
“The use of the mind is becoming ‘second nature’ to certain advanced types of men, and it is called into play, when they reach this stage, almost automatically. The result is that the integration of the three energies is proceeding fast. At the same time, the man is definitely oriented to soul contact and knowledge, and frequently the mind (when it is the controlling personality factor) is itself brought suddenly and dynamically under the control of the soul.” -Esoteric Psychology
You are welcome to post your comments and understanding of this law.